On the discrete analogues of Appell function $F_3$
Classical Analysis and ODEs
2024-01-17 v1
Abstract
The present paper is devoted to the study of Appell hypergeometric function from discrete point of view. We mainly introduce two generalized discrete forms of and study their basic properties \emph{viz.} regions of convergence, difference-differential equations, integral representations, finite and infinite sums, recursion formulae, to name a few.
Keywords
Cite
@article{arxiv.2401.07509,
title = {On the discrete analogues of Appell function $F_3$},
author = {Ravi Dwivedi and Vivek Sahai},
journal= {arXiv preprint arXiv:2401.07509},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2401.06501