English

On the incomplete Lauricella matrix functions of several variables

Classical Analysis and ODEs 2020-03-26 v1

Abstract

In this article, we introduce incomplete Lauricella matrix functions (ILMFs) of nn variables through application of the incomplete Pochhammer matrix symbols. Furthermore there is derivation of certain properties; matrix differential equation, integral formula, recursion formula and differentiation formula of the ILMFs. We also establish the connection between these matrix functions and other peculiar matrix functions; incomplete gamma matrix function, Laguerre, Bessel and modified Bessel matrix functions.

Keywords

Cite

@article{arxiv.2003.11419,
  title  = {On the incomplete Lauricella matrix functions of several variables},
  author = {Ashish Verma},
  journal= {arXiv preprint arXiv:2003.11419},
  year   = {2020}
}