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Adjustment to the Fowler Equation Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-03-15 Borys Álvarez-Samaniego, Wilson P. Álvarez-Samaniego, Kevin Lloacana-Unda
Following closely the analysis performed by Andrew C. Fowler to derive the first canonical equation for nonlinear dune dynamics, but considering some appropriate changes of variables, suitable scalings, and by neglecting higher-order terms, we obtain an adaptation of the aforementioned equation, which contains an additional term, to describe dune morphodynamics.
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Cesàro $$\mathfrak {q}$$ -Difference Sequence Spaces and Spectrum of Weighted $$\mathfrak {q}$$ -Difference Operator Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-03-15 Taja Yaying, Bipan Hazarika, Pinakadhar Baliarsingh, Mohammad Mursaleen
In this research paper, we undertake an investigation into Cesàro \(\mathfrak {q}\)-difference sequence spaces \(\mathfrak {X}(\mathfrak {C}_1^{\delta ;\mathfrak {q}})\), where \(\mathfrak {X} \in \{\ell _{\infty },c,c_0\}.\) These spaces are generated using the matrix \(\mathfrak {C}_1^{\delta ,\mathfrak {q}}\), which is a product of the Cesàro matrix \(\mathfrak {C}_1\) of the first-order and the
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Global and Local Solutions of Stochastic Nonlinear Schrödinger System With Quadratic Interaction Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-03-15 Masaru Hamano, Shunya Hashimoto, Shuji Machihara
Global and local existence results for the solutions of systems of stochastic Schrödinger equations with multiplicative noise and quadratic nonlinear terms are discussed in this paper. The same system in the deterministic treatment was studied in [23] where the mass and energy are conserved. In our stochastic situation, those are not conserved.
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On Strongly Nonnil-Coherent Rings and Strongly Nonnil-Noetherian Rings Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-03-10 Khaled Alhazmy, Fuad Ali Ahmed Almahdi, Younes El Haddaoui, Najib Mahdou
The first part of this paper introduces and studies the class of strongly nonnil-coherent rings, a subclass of the already defined and studied class of nonnil-coherent rings. Contrary to the classical result that every Noetherian ring is coherent, a nonnil-Noetherian ring need not be nonnil-coherent. To remedy this, the second part introduces and studies the class of strongly nonnil-Noetherian rings
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The Long-Time Existence of the Finslerian Ricci Flow Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-03-04
Abstract In this study, we demonstrate that any solution to the Finslerian Ricci flow encountering a singularity on a compact manifold is invariably associated with an unbounded hh-curvature tensor. Furthermore, we establish the extended temporal viability of the Finslerian Ricci flow under the constraint of bounded curvature. To achieve this, we derive the evolution equation for the hh-curvature tensor
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The S-Relative Pólya Groups and S-Ostrowski Quotients of Number Fields Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-03-02 Ehsan Shahoseini, Abbas Maarefparvar
Let K/F be a finite extension of number fields and S be a finite set of primes of F, including all the Archimedean ones. In this paper, using some results of González-Avilés (J Reine Angew Math 613:75–97, 2007), we generalize the notions of the relative Pólya group \({{\,\textrm{Po}\,}}(K/F)\) (Chabert in J Number Theory 203:360–375, 2019; Maarefparvar and Rajaei in J Number Theory 207:367-384, 2020)
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A Remark on a Result of Huber and Kahn Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-02-29 Somayeh Habibi, Farhad Rahmati
A. Huber and B. Kahn construct a relative slice filtration on the motive M(X) associated to a principal T-bundle \(X\rightarrow Y\) for a smooth scheme Y. As a consequence of their result, one can observe that the mixed Tateness of the motive M(Y) implies that the motive M(X) is mixed Tate. In this note we prove the inverse implication for a principal G-bundle, for a split reductive group G.
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The Holomorphic Statistical Structures of Constant Holomorphic Sectional Curvature on Complex Space Forms Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-02-27 Mingming Yan, Xinlei Wu, Liang Zhang
In this paper, we prove the non-existence of non-trivial statistical structures of constant holomorphic sectional curvature based on complex space forms with dimension greater than 2. For 2-dimensional complex space forms we show an example to illustrate there do exist non-trivial statistical structures of constant holomorphic sectional curvature, and we also obtain a rigidity theorem in this case
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The Dunkl–Williams Constant Related to Birkhoff Orthogonality in Banach Spaces Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-02-26 Yuankang Fu, Huayou Xie, Yongjin Li
In this paper, we shall consider a new constant \(DW_B(X)\) which is the Dunkl–Williams constant related to Birkhoff orthogonality, and a constant \(DW^p_B(X)\) that is a generalization of \(DW_B(X)\). Interestingly, the upper bounds of \(DW_B(X)\) and the Dunkl–Williams constant are different. The connections between these two constants and other well-known constants are exhibited. Some characterizations
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PBIB-Designs from Certain Subsets of Distance-Regular Graphs Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-02-20 Nan Li, Yan Zhu
Partially balanced incomplete block (PBIB)-designs are well known to be the generalization of combinatorial 2-designs. In this paper, we first construct PBIB-designs from diametral paths of distance-regular graphs, which generalizes the result for strongly regular graphs. Furthermore, for Q-polynomial distance-regular graphs associated with regular semilattices, we obtain the construction of PBIB-designs
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Strong Edge Geodetic Problem on Complete Multipartite Graphs and Some Extremal Graphs for the Problem Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-31
Abstract A set of vertices X of a graph G is a strong edge geodetic set if, to any pair of vertices from X, we can assign one (or zero) shortest path between them, such that every edge of G is contained in at least one on these paths. The cardinality of a smallest strong edge geodetic set of G is the strong edge geodetic number \(\mathrm{sg_e}(G)\) of G. In this paper, the strong edge geodetic number
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On the Hilbert Function of General Unions of Curves in Projective Spaces Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-31 Edoardo Ballico
Let \(X=X_1\cup \cdots \cup X_s\subset \mathbb {P}^n\), \(n\ge 4\), be a general union of smooth non-special curves with \(X_i\) of degree \(d_i\) and genus \(g_i\) and \(d_i\ge \max \{2g_i-1,g_i+n\}\) if \(g_i>0\). We prove that X has maximal rank, i.e., for any \(t\in \mathbb {N}\) either \(h^0(\mathcal {I}_X(t))=0\) or \(h^1(\mathcal {I}_X(t))=0\) if it is so in a few explicit cases in \(\mathbb
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The Average Behaviors of the Fourier Coefficients of j-th Symmetric Power L-Function over Two Sparse Sequences of Positive Integers Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-31 Huafeng Liu, Xiaojie Yang
Suppose that x is a sufficiently large number and \(j\ge 2\) is any integer. Let \(L(s, \textrm{sym}^j f)\) be the j-th symmetric power L-function associated with the primitive holomorphic cusp form f of weight k for the full modular group SL\(_{2}(\mathbb {Z})\). Also, let \(\lambda _{\textrm{sym}^j f}(n)\) be the n-th normalized Dirichlet coefficient of \(L(s, \textrm{sym}^j f)\). In this paper,
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The Ground State Solutions to a Class of Biharmonic Choquard Equations on Weighted Lattice Graphs Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-31
Abstract In this paper, we consider the biharmonic Choquard equation with the nonlocal term on the weighted lattice graph \({\mathbb {Z}}^N\) , namely for any \(p>1\) and \(\alpha \in (0,\,N)\) $$\begin{aligned} \Delta ^2u-\Delta u+V(x)u=\left( \sum _{y\in {\mathbb {Z}}^N,\,y\not =x}\frac{|u(y)|^p}{d(x,\,y)^{N-\alpha }}\right) |u|^{p-2}u, \end{aligned}$$ where \(\Delta ^2\) is the biharmonic operator
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Classification of Initial Energy in a Pseudo-parabolic Equation with Variable Exponents and Singular Potential Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-29 Xizheng Sun, Zhiqing Han, Bingchen Liu
This paper deals with a pseudo-parabolic equation with singular potential and variable exponents. First, we determine the existence and uniqueness of weak solutions in Sobolev spaces with variable exponents. Second, in the frame of variational methods, we classify the blow-up and the global existence of solutions completely using the initial energy. Third, we obtain lower and upper bounds of blow-up
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Certain Observations on a $${{\,\mathrm{U_{fin}}\,}}$$ -Type Selection Principle Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-27 Debraj Chandra, Nur Alam
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Fiedler Linearizations of Rectangular Rational Matrix Functions Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-12 Namita Behera, Avisek Bist, Volker Mehrmann
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On the Comparison of Two Meshless Finite Difference Methods for Solving Shallow Water Equations Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-04 Juan José Benito, Ángel García, Mihaela Negreanu, Francisco Ureña, Antonio Manuel Vargas
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Metrical Stepanov Almost Automorphy and Applications Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-04 Belkacem Chaouchi, Marko Kostić, Halis Can Koyuncuoğlu
In this paper, we analyze various classes of multi-dimensional Stepanov almost automorphic type functions in general metric. We clarify the main structural properties for the introduced classes of metrically Stepanov almost automorphic type functions, providing also some applications to the abstract Volterra integro-differential equations.
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Embedding Dimensions of Matrices Whose Entries are Indefinite Distances in the Pseudo-Euclidean Space Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-04 Hiroshi Nozaki, Masashi Shinohara, Sho Suda
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On the Non-degeneracy of the Robin Function for the Fractional Laplacian on Symmetric Domains Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-04 Alejandro Ortega
In this work we prove, under symmetry and convexity assumptions on the domain \(\Omega \), the non- degeneracy at zero of the Hessian matrix of the Robin function for the spectral fractional Laplacian. This work extends to the fractional setting the results of M. Grossi concerning the classical Laplace operator.
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Finite Group Modular Field Extensions, Green Theory and Absolutely Indecomposable and Simple Modules Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2024-01-05 Morton E. Harris
Let \(\Phi \) be a field of prime characteristic p and let G be a finite group. We develop an equivalence relation between the set of isomorphism types of indecomposable (simple) KG-modules, where K is any finite subfield of \(\Phi \), and relate the equivalence classes to the set of isomorphism types of indecomposable (resp. simple) \(\Phi G\)-modules. When \(\Phi \) is the algebraic closure of a
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Inclusion Matrices for Rainbow Subsets Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-12-13 Chengyang Qian, Yaokun Wu, Yanzhen Xiong
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Existence and Stability of Ulam–Hyers for Neutral Stochastic Functional Differential Equations Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-12-10 Arunachalam Selvam, Sriramulu Sabarinathan, Sandra Pinelas, Vaidhiyanathan Suvitha
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Inclusion Properties of the Triangular Ratio Metric Balls Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-30 Oona Rainio
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Super-Simple (v, 5, 2) Directed Designs and Their Smallest Defining Sets with Application in LDPC Codes Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-26 Maryam Mohammadnezhad, Somayye Golalizadeh, Mahsa Boostan, Nasrin Soltankhah
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A Relativistic Abelian Chern–Simons Model on Graph Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-24 Juan Zhao
In this paper, we consider a relativistic Abelian Chern–Simons equation $$\begin{aligned} \left\{ \begin{array}{l} \Delta u=\lambda \left( a(b-a)e^{u}-b(b-a)e^{v}+a^{2}e^{2u}-abe^{2v}+b(b-a)e^{u+v}\right) +4\pi \sum \limits _{j=1}^{N_{1}} \delta _{p_{j}},\\ \Delta v=\lambda \left( -b(b-a)e^{u}+a(b-a)e^{v}-abe^{2u} +a^{2}e^{2v}+b(b-a)e^{u+v}\right) +4\pi \sum \limits _{j=1}^{N_{2}} \delta _{q_{j}},
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The Non-Toric $$U_{q}(sl_{2})$$ -Symmetries on Quantum Polynomial Algebra $$k_{q}[x^{\pm 1},y]$$ Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-23 Xuejun Xia, Xiaoming Li, Libin Li
In this paper, we present the complete list of \(U_{q}(sl_{2})\)-symmetries on quantum polynomial algebra \(k_q[x^{\pm 1},y]\) in the case that the action of the generator K of \(U_{q}(sl_{2})\) is a non-toric automorphism. The conditions for the isomorphism of such structures are explored as well.
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Hybrid Propagation and Control of Network Viruses on Scale-Free Networks Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-20 Qingyi Zhu, Pingfan Xiang, Kefei Cheng, Chenquan Gan, Lu-Xing Yang
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Nilpotent Category of Monoidal Category and Tensor–Hom Adjunction Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-20 Yan’en Ni, Yunfei Tan, Yunfei Yi, Yuehui Zhang
Let \(\mathcal {C}\) be an abelian monoidal category. It is proved that the nilpotent category \({\text {Nil}}(\mathcal {C})\) of \(\mathcal {C}\) admits almost monoidal structure except the unit axiom. As an application, it is proved that Hom and Tensor functors exist over \({\text {Nil}}(\mathcal {C})\) and tensor–hom adjunction remains true over the nilpotent category of the category of finite-dimensional
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Collectively Coincidence Results and Selecting Families Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-16 Donal O’Regan
In this paper we will make use of Brouwer’s fixed point theorem to obtain collectively coincidence point results for multivalued maps belonging to similar classes.
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Ramsey Numbers of a Wheel of Order Five Versus Fans Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-18 Yiyuan Hao, Chunlin You
For graphs G and H, the Ramsey number r(G, H) is the smallest number N, such that any red/blue edge-coloring of \(K_N\) contains either a red copy of G or a blue copy of H. Let \(F_n=K_1+nK_2\) be a fan and \(W_4=K_1+C_4\) be a wheel of order five. In this paper, we show that the Ramsey number \(r(W_4,F_n)=4n+1\) for all sufficiently large n. Moreover, this implies that a large fan \(F_n\) is \(W_4\)-good
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Extensions of Functions with a Closed Graph and Quasi-continuous Functions with a Closed Graph from Dense Subspaces Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-14 Jolanta Kosman
In this paper, we prove some conditions for existence of an extension of a real (quasi-continuous) function with a closed graph defined on a given dense subset D of a topological space X to a (quasi-continuous) function with a closed graph on whole X.
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When do the Gorenstein Injective Modules and Strongly Cotorsion Modules Coincide? Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-10 Junfu Wang, Huanhuan Li
For a left Noetherian ring R, if the supremum of flat dimensions of all injective left R-modules is finite, we prove that strongly cotorsion left R-modules coincide with Gorenstein injective modules. Furthermore, if \(\textrm{id}{_{R}R}<\infty \), we describe these two classes of modules as certain right perpendiculars \(\mathscr {D}^{\bot }\), where \(\mathscr {D}\) are the classes of injective modules
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A Combinatorial Description of the Dormant Miura Transformation Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-11-08 Yasuhiro Wakabayashi
The aim of the present paper is to describe Miura \({\mathfrak {s}}{\mathfrak {l}}_2\)-opers and Miura transformations in terms of graph-theoretic objects. We construct a bijective correspondence between dormant generic Miura \({\mathfrak {s}}{\mathfrak {l}}_2\)-opers on a totally degenerate curve in positive characteristic and certain branch numberings on a 3-regular graph. This correspondence allows
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Existence and Multiplicity of Normalized Solutions to Biharmonic Schrödinger Equations with Subcritical Growth Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-31 Ziheng Zhang, Jianlun Liu, Qingle Guan
This paper is concerned with the existence and multiplicity of normalized solutions to the following biharmonic Schrödinger equation: $$\begin{aligned} \left\{ \begin{array}{ll} {\Delta }^2u-h(\varepsilon x) |u|^{p-2}u=\lambda u\quad \text{ in }\ {\mathbb {R}}^N, \\ \int _{{\mathbb {R}}^N} u^2 {\textrm{d}}x = c, \\ \end{array} \right. \end{aligned}$$ where \(\varepsilon , c>0,\) \(N\ge 1,\) \(2
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The CEPGD-Inverse for Square Matrices Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-26 Saroja Kumar Panda, Jajati Keshari Sahoo, Ratikanta Behera, Predrag S. Stanimirović, Dijana Mosić, Alena A. Stupina
This paper introduces a new class of generalized inverses for square matrices: core-EP G-Drazin (CEPGD) inverse. The CEPGD inverse is not unique and defined as a proper composition of the core-EP and the G-Drazin inverse. Representations of CEPGD inverses related to the core-nilpotent decomposition and the Hartwig–Spindelböck decomposition are established. The existence of CEPGD inverses as well as
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Multiplicative Functions with Sum Zero Over Beurling Generalized Prime Number Systems Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-16 Ammar Ali Neamah
Completely multiplicative arithmetic functions with sum zero (in short CMO functions) were initially introduced by Kahane and Saïas (Expo Math 35(4):364–389, 2017). These functions were recently generalized to Beurling generalized prime number systems and denoted as \(CMO_{\mathcal {P}}\) by Neamah (Res Number Theory 6:45, 2020). In this article, we generalize \(CMO_{\mathcal {P}}\) to multiplicative
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Approximation properties of $$\mu $$ -Bernstein–Schurer–Stancu operators Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-13 Naim L. Braha, Toufik Mansour
In this paper, we define a new kind of the \(\mu \)-Bernstein–Schurer–Stancu operators. For these operators, we prove uniform convergence and study their behavior using consideration modulus of continuity and smoothness. Moreover, we present the Korovkin type theorem, Voronovskaya type theorem, and Grüss–Voronovskaya type theorems.
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Approximations to the Euler–Mascheroni Constant Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-07 Xue-Feng Han, Chao-Ping Chen
In this paper, we establish an asymptotic expansion for the Euler–Mascheroni constant. Based on this expansion, we establish a two-sided inequality and a continued fraction approximation for the Euler–Mascheroni constant.
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A Note on the Deformed Hermitian–Yang–Mills Equation with Gradient Terms on Compact Almost Hermitian Manifolds Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-04 Masaya Kawamura
We study the deformed Hermitian–Yang–Mills equation (dHYM equation, for short) with gradient terms on a compact almost Hermitian manifold and show the existence of solutions for the dHYM equation in the case of the hypercritical phase.
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Multiple Weighted Norm Inequalities for Multilinear Strongly Singular Integral Operators with Generalized Kernels Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-05 Bixiao Wei, Shuhui Yang, Yan Lin
Lin (Nonlinear Anal 192:111699, 2020) introduced a class of multilinear strongly singular integral operators, which have weaker smoothness condition compared to the classical multilinear singular integral operators except that they do not require the size condition. In this paper, the smoothness condition of the kernel function is further reduced of the multilinear strongly singular integral operator
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The Clique Number of the Intersection Graph of a Finite Group Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-05 Arezoo Beheshtipour, Seyyed Majid Jafarian Amiri
For a nontrivial finite group G, the intersection graph \(\Gamma (G)\) of G is the simple undirected graph whose vertices are the nontrivial proper subgroups of G and two vertices are joined by an edge if and only if they have a nontrivial intersection. In a finite simple graph \(\Gamma \), the clique number of \(\Gamma \) is denoted by \(\omega (\Gamma )\). In this paper we show that if G is a finite
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On Quadruple q-Hypergeometric Functions and Diverse Generalizations to n Variables in the Spirit of Exton Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-05 Thomas Ernst
The purpose of this article is to study convergence regions and q-integral representations of certain non-symmetric q-Lauricella functions and quadruple functions in the spirit of Exton. In the process, we slightly improve Exton’s original formulas, notation, and convergence regions. There are three so-called q-real numbers, which are briefly introduced. These numbers occur both in the q-integrals
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Generalizations of Mock Theta Functions and Appell–Lerch Sums Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-03 Su-Ping Cui, Nancy S. S. Gu, Dazhao Tang
Ramanujan named and first studied mock theta functions which can be represented by Eulerian forms, Appell–Lerch sums, Hecke-type double sums, and Fourier coefficients of meromorphic Jacobi forms. In this paper, we investigate some generalizations of mock theta functions and express them in terms of Appell–Lerch sums. For instance, one result proved in the present paper is that for any positive integer
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Monotonicity of Three Classes of Functions Involving Modified Bessel Functions of the Second Kind Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-10-03 Zhong-Xuan Mao, Jing-Feng Tian
In this paper, we determine the monotonicity of three classes of functions involving modified Bessel functions of the second kind. We also presented some inequalities and bounds for modified Bessel functions of the second kind. In particular, our results derive bounds for the Airy function and its derivative.
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On Localized Self-Homotopy Groups of SU(4) and Sp(4) Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-09-30 Sajjad Mohammadi, Ali S. Janfada
In this article, first, localizing at odd primes p, we study the self-homotopy groups of SU(4) and Sp(4). Second, we consider the homotopy nilpotency of Sp(4) when localized at odd prime \(p \ge 7\).
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Bézier Type Kantorovich q-Baskakov Operators via Wavelets and Some Approximation Properties Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-09-30 Ekrem Savaş, Mohammad Mursaleen
In this paper, we construct the Bézier variant of the operators constructed by Nasiruzzaman et al. (Iran J Sci Technol Trans A Sci 46(5):1495–1503, 2022). We use the notion of wavelets to construct Bézier type Kantorovich q-Baskakov wavelet operators. We calculate the moments and central moments and prove some approximation results for our new operators.
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Quartic congruences and eta products Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-09-20 Zhi-Hong Sun, Dongxi Ye
Let \(a_{15}(n),a_{20}(n)\) and \(a_{24}(n)\) be defined by $$\begin{aligned} q\prod _{k=1}^{\infty }(1-q^{k})(1-q^{3k})(1-q^{5k})(1-q^{15k})= & {} \sum \limits _{n=1}^{\infty }a_{15}(n)q^n,\\ q\prod _{k=1}^{\infty }(1-q^{2k})^2(1-q^{10k})^2= & {} \sum \limits _{n=1}^{\infty }a_{20}(n)q^n,\\ q\prod _{k=1}^{\infty }(1-q^{2k})(1-q^{4k})(1-q^{6k})(1-q^{12k})= & {} \sum \limits _{n=1}^{\infty }a_{24}(n)q^n
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Some Generalizations of $$*$$ -Lie Derivable Mappings and Their Characterization on Standard Operator Algebras Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-09-20 Behrooz Fadaee, Hoger Ghahramani, Heydar Moradi
We introduce generalizations of \( *\)-Lie derivable mappings (which are not necessarily linear) on \(*\)-algebras and then provide characterizations of these generalizations on standard operator algebras. Indeed, if \( {\mathcal {H}} \) is an infinite dimensional complex Hilbert space and \( {\mathcal {A}} \) be a unital standard operator algebra on \( {\mathcal {H}} \) which is closed under the adjoint
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On Positive Supersolutions of Fractional Elliptic Equations with Gradient Terms Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-09-16 Nguyen Thi Quynh
In this paper, we first prove the nonexistence of positive supersolutions of the fractional elliptic equation involving the gradient term $$\begin{aligned} (-\Delta )^su+b\cdot \nabla u=u^p \end{aligned}$$ in the whole space \(\mathbb R^N \), where \(p\in \mathbb {R}\), \(02s\) and b is a vector field satisfying some growth condition at infinity. From this result and some reduction arguments, we then
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Extremals for a Hardy–Trudinger–Moser Inequality with Remainder Terms Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-09-16 Kexin Yin
Let \(B\subset {\mathbb {R}}^2\) be the unit disk , \({\mathcal {H}}\) be the completion of \(C_{0}^{\infty }(B)\) under the norm $$\begin{aligned} ||u||_{{\mathcal {H}}}=\bigg (\int _{B}|\nabla u|^2\textrm{d}x-\int _{B}\frac{u^2}{(1-|x|^2)^2}\textrm{d}x \bigg )^{1/2}. \end{aligned}$$ In this paper, we consider a maximum problem concerning the Hardy–Trudinger–Moser inequalities containing lower order
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Disjoint Linear Dynamical Properties of Elementary Operators Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-09-13 Stefan Ivković, Seyyed Mohammad Tabatabaie
In this paper, we characterize disjoint hypercyclic finite sequences of elementary operators. We provide sufficient conditions for a finite sequence of the dual elementary operators to be disjoint topologically transitive. Finally, we give concrete examples and applications.
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On Concatenations of Two Padovan and Perrin Numbers Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-08-29 Fatih Erduvan
Let \((P_{k})_{k\ge 0}\) and \((R_{k})_{k\ge 0}\) be the Padovan and Perrin sequences. In this paper, we found that all Padovan numbers, which are concatenations of two Padovan numbers are 12, 21, 37, 49, 265, 465. Moreover, we showed that the only Perrin number, which is concatenations of two Perrin numbers is 22. That is, we solved the Diophantine equations \( P_{k}=10^{d}P_{m}+P_{n}\) and \(R_{
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The Minimum Number of 4-Cycles in a Maximal Planar Graph with Small Number of Vertices Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-08-28 Ervin Győri, Addisu Paulos, Oscar Zamora
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Properties On Finsler $$\Sigma $$ -Spaces Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-08-25 Simin Zolfegharzadeh, Dariush Latifi, Megerdich Toomanian
Finsler \(\Sigma \)-spaces are studied in this paper. We show that any G-invariant Finsler structure F on a \(\Sigma \)-triple \((G,H,\Sigma )\) makes it a Finsler \(\Sigma \)-space. We prove that for a Finsler \(\Sigma \)-space of scalar flag curvature, if the \({\textbf{S}}\)-curvature is almost isotropic, then F has constant flag curvature. Then, we prove that a locally projectively flat Finsler
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$$\alpha $$ -Bernstein-Integral Type Operators Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-08-25 Jyoti Yadav, Syed Abdul Mohiuddine, Arun Kajla, Abdullah Alotaibi
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Weakly Separated Spaces and Pixley–Roy Hyperspaces Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-08-24 Alejandro Ríos-Herrejón
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Gorenstein Weak n-Silting Modules and Weak n-Star Modules Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-08-23 Qianqian Yuan, Hailou Yao
As generalizations of silting modules and star modules, respectively, the notions and basic properties of Gorenstein weak n-silting and weak n-star modules are given. We mainly show the “triangular relation” in tilting theory is also valid in silting and star theories in the context of Gorenstein homological algebras. We establish more closed connections among silting and tilting, star theories, that
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A Stochastic Maximum Principle for Partially Observed Optimal Control Problem of Mckean–Vlasov FBSDEs with Random Jumps Bull. Iran. Math. Soc. (IF 0.7) Pub Date : 2023-08-23 Khedidja Abba, Imad Eddine Lakhdari
In this paper, we study the stochastic maximum principle for partially observed optimal control problem of forward–backward stochastic differential equations of McKean–Vlasov type driven by a Poisson random measure and an independent Brownian motion. The coefficients of the system and the cost functional depend on the state of the solution process as well as of its probability law and the control variable