On the discrete analogues of Appell function F₁

2024/01/11 by Ravi Dwivedi, Dwivedi, Ravi, Vivek Sahai +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2401.05677

openalex publication_date 2024/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper, two discrete forms of Appell function F₁ are introduced and studied. We examine the first discrete form in detail and give the results directly for the second. We study their regions of convergence, differential properties, integral representations, recursion relations, finite and infinite sums. The results and identities obtained in the paper are believed to be new and may find applications in various branches of science.

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