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- Title
A New Extension of Bessel Matrix Functions.
- Authors
Shehata, Ayman
- Abstract
The main aim of this paper is to define a new family of special matrix functions, say, p-Hypergeometric, p-Bessel, p-modified Bessel and p-Tricomi matrix functions, where p is a positive integer. The convergence properties of the p-Hypergeometric matrix function are established and the matrix differential equation is constructed. The differential properties, integral representations, integrals and various particular cases on the p-Bessel matrix function have been obtained. The p-modified Bessel matrix functions, and some properties of this function are investigated. Finally, the p-Tricomi matrix function and several results of the function are defined and studied.
- Publication
Southeast Asian Bulletin of Mathematics, 2016, Vol 40, Issue 2, p265
- ISSN
0129-2021
- Publication type
Academic Journal