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

AIMS Mathematics

Naresh Kumar¹  Ruma Qamar¹  Tabinda Nahid²  Mumtaz Riyasat³  Anish Khan⁴ 

[1] 1 Department of Mathematics, IFTM University, Moradabad, India;2 Department of Mathematics, Aligarh Muslim University, Aligarh, India;3 Department of Applied Mathematics, Faculty of Engineering, Aligarh Muslim University, Aligarh, India;4 Chemistry Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia 5 Center of Excellence for Advanced Materials Research, King Abdulaziz University, Jeddah, Saudi Arabia;

关键词: gould-hopper matrix polynomials;    bessel functions;    tricomi functions;    euler's integral;    operational methods;   

DOI  :  10.3934/math.2020296

来源: DOAJ

【 摘 要 】

The paper performs an investigation on the new class of functions, namely the GouldHopper-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.

【 授权许可】

Unknown