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Some Symmetry Identities for Carlitz’s Type Degenerate Twisted (p,q)-Euler Polynomials Related to Alternating Twisted (p,q)-Sums
Symmetry ( IF 2.2 ) Pub Date : 2021-07-28 , DOI: 10.3390/sym13081371
Cheon-Seoung Ryoo

In this paper, we define a new form of Carlitz’s type degenerate twisted (p,q)-Euler numbers and polynomials by generalizing the degenerate Euler numbers and polynomials, Carlitz’s type degenerate q-Euler numbers and polynomials. Some interesting identities, explicit formulas, symmetric properties, a connection with Carlitz’s type degenerate twisted (p,q)-Euler numbers and polynomials are obtained. Finally, we investigate the zeros of the Carlitz’s type degenerate twisted (p,q)-Euler polynomials by using computer.

中文翻译:

与交替扭曲 (p,q)-和相关的 Carlitz 类型退化扭曲 (p,q)-欧拉多项式的一些对称恒等式

在本文中,我们定义了一种新形式的 Carlitz 型简并扭曲 (,q)-Euler 数和多项式通过推广退化的 Euler 数和多项式,Carlitz 的类型退化了q -Euler 数和多项式。一些有趣的恒等式、显式公式、对称性质、与 Carlitz 类型退化扭曲的联系(,q)- 得到欧拉数和多项式。最后,我们研究了 Carlitz 型简并扭曲的零点(,q)- 使用计算机的欧拉多项式。
更新日期:2021-07-28
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