English

On the discrete analogues of Appell function $F_4$

Classical Analysis and ODEs 2024-03-05 v2

Abstract

In this paper, we study the Appell function F4F_4 from discrete point of view. In particular, we obtain regions of convergence, difference-differential equations, finite and infinite summation formulas and a list of recursion relations satisfied by the discrete analogues of Appell function F4F_4.

Keywords

Cite

@article{arxiv.2402.18931,
  title  = {On the discrete analogues of Appell function $F_4$},
  author = {Ravi Dwivedi and Vivek Sahai},
  journal= {arXiv preprint arXiv:2402.18931},
  year   = {2024}
}