On the fractional integrals and derivatives of Bateman's matrix polynomials
General Mathematics
2024-07-18 v2
Abstract
The object of this paper is to investigate the certain results involving Bateman's matrix polynomials for integral index. We obtain some properties, integral representation and recurrence relations for hypergeometric matrix function. We introduce some matrix differential equations of the three order, integral transform and fractional integral formulas for hypergeometric matrix function by using the beta and Laplace transforms formula, Erdelyi Kober type fractional integral operators
Keywords
Cite
@article{arxiv.2308.13698,
title = {On the fractional integrals and derivatives of Bateman's matrix polynomials},
author = {Ghazi S. Khammash and Shimaa I. Moustafa and Shahid Mubeen and Saralees Nadarajah and Ayman Shehata},
journal= {arXiv preprint arXiv:2308.13698},
year = {2024}
}