Gould-Hopper matrix-Bessel and Gould-Hopper matrix-Tricomi functions and related integral representations

被引：4

作者：

Qamar, Ruma ^{[1
]}

Nahid, Tabinda ^{[2
]}

Riyasat, Mumtaz ^{[3
]}

Kumar, Naresh ^{[1
]}

Khan, Anish ^{[4
,5
]}

机构：

[1] IFTM Univ, Dept Math, Moradabad, India

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

[3] Aligarh Muslim Univ, Fac Engn, Dept Appl Math, Aligarh, Uttar Pradesh, India

[4] King Abdulaziz Univ, Fac Sci, Chem Dept, Jeddah, Saudi Arabia

[5] King Abdulaziz Univ, Ctr Excellence Adv Mat Res, Jeddah, Saudi Arabia

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 05期

关键词：

Gould-Hopper matrix polynomials; Bessel functions; Tricomi functions; Euler's integral; operational methods; POLYNOMIALS;

D O I：

10.3934/math.2020296

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper performs an investigation on the new class of functions, namely the Gould-Hopper-Bessel matrix functions and Gould-Hopper-Tricomi matrix functions via operational methods. The generating functions, operational representations and connection formulae are established. The generalized forms of the Gould-Hopper-Bessel matrix and Gould-Hopper-Tricomi matrix functions are introduced using integral transform. Several important properties related to these functions are also deduced.

引用

页码：4613 / 4623

页数：11

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