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arXiv · 2401.06501

On the discrete analogues of Appell function $F_2$

Ravi Dwivedi·Vivek Sahai
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Abstract

In this paper, we introduce two distinct discrete forms of Appell function $F_2$. We determine their convergence domains, integral representations as well as difference-differential equations that are satisfied by these discrete analogues of $F_2$. We have also obtained the difference-differential formulas, finite and infinite summation formulas, and a complete list of difference-differential recursion relations obeyed by these discrete functions.

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Ravi Dwivedi, Vivek Sahai. 2024-01-12. On the discrete analogues of Appell function $F_2$. https://arxiv.org/abs/2401.06501

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