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arXiv · 2401.07509

On the discrete analogues of Appell function $F_3$

Ravi Dwivedi·Vivek Sahai
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Abstract

The present paper is devoted to the study of Appell hypergeometric function $F_3$ from discrete point of view. We mainly introduce two generalized discrete forms of $F_3$ 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.

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Ravi Dwivedi, Vivek Sahai. 2024-01-15. On the discrete analogues of Appell function $F_3$. https://arxiv.org/abs/2401.07509

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