Differential and integral equations for the Laguerre-Gould-Hopper-based Appell and related polynomials

被引：16

作者：

Wani, Shahid Ahmad ^{[1
]}

Khan, Subuhi ^{[1
]}

Naikoo, Shakeel Ahmad ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2020年 / 26卷 / 02期

关键词：

Laguerre-Gould-Hopper-based Appell polynomials; Recurrence relation; Differential equations; Integral equation; FAMILIES;

D O I：

10.1007/s40590-019-00239-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, recurrence relation, differential equations and integral equation for the Laguerre-Gould-Hopper-based Appell polynomials are derived using the factorization method. An analogous study of these results for the Laguerre-Gould-Hopper-based Bernoulli, Euler and Genocchi polynomials is also presented.

引用

页码：617 / 646

页数：30

共 16 条

[1] A unified matrix approach to the representation of Appell polynomials [J].