On the discrete analogues of Appell function F₂

2024/01/12 by Ravi Dwivedi, Dwivedi, Ravi, Vivek Sahai +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2401.06501

openalex publication_date 2024/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce two distinct discrete forms of Appell function F₂. We determine their convergence domains, integral representations as well as difference-differential equations that are satisfied by these discrete analogues of F₂. 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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