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Inclusion properties of planar harmonic mappings associated with the Wright function
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-06-04 , DOI: 10.1080/17476933.2020.1772765 Sudhananda Maharana 1 , Swadesh Kumar Sahoo 1
中文翻译:
与 Wright 函数相关的平面调和映射的包含属性
更新日期:2020-06-04
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-06-04 , DOI: 10.1080/17476933.2020.1772765 Sudhananda Maharana 1 , Swadesh Kumar Sahoo 1
Affiliation
ABSTRACT
The prime purpose of this article aims to establish connections between various sub-classes of harmonic univalent mappings by applying a convolution operator associated with the well-known Wright function. In particular, the inclusion relations among Goodman–Rønning-type harmonic univalent mappings, harmonic k-uniformly convex mappings and harmonic k-uniformly starlike mappings in the plane are established.
中文翻译:
与 Wright 函数相关的平面调和映射的包含属性
摘要
本文的主要目的是通过应用与著名的 Wright 函数相关联的卷积算子,在谐波单价映射的各个子类之间建立连接。特别地,建立了平面内Goodman-Rønning型调和单价映射、调和k-一致凸映射和调和k-一致星形映射之间的包含关系。