Properties and applications of generalized 1-parameter 3-variable Hermite-based Appell polynomials

被引：1

作者：

Zayed, Mohra ^{[1
]}

Wani, Shahid Ahmad ^{[2
]}

机构：

[1] King Khalid Univ, Coll Sci, Math Dept, Abha 61413, Saudi Arabia

[2] Symbiosis Int, Symbiosis Inst Technol, Pune Campus, Pune, India

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 09期

关键词：

1-parameter generalized Hermite polynomials; Appell polynomials; determinant definition; recurrence relations; differential equations;

D O I：

10.3934/math.20241226

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a novel framework for introducing generalized 3-variable 1-parameter Hermitebased Appell polynomials. These polynomials are characterized by generating function, series a factorization method, we established recurrence relations, shift operators, and various differential equations, including differential, integrodifferential, and partial differential equations. Special attention is given to exploring the specific cases of 3-variable 1-parameter generalized Hermite-based Bernoulli, Euler, and Genocchi polynomials, offering insights into their unique features and applications.

引用

页码：25145 / 25165

页数：21

共 47 条

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