English

On the matrix $q$-Kummer equation and its solutions

General Mathematics 2023-08-08 v1

Abstract

In the present paper, a general theory for the second-order matrix difference equation of bilateral type is discussed. We introduced the matrix qq-Kummer equation of bilateral type and presented the qq-Kummer matrix function as a series solution. Later, we obtain the integral solutions of this Kummer equation and solution at \infty. We also give a brief idea about the matrix Gauss difference equation of bilateral type and its solutions.

Keywords

Cite

@article{arxiv.2308.02551,
  title  = {On the matrix $q$-Kummer equation and its solutions},
  author = {Ravi Dwivedi},
  journal= {arXiv preprint arXiv:2308.02551},
  year   = {2023}
}
R2 v1 2026-06-28T11:48:25.719Z