A note on values of ₄F₃ hypergeometric functions

2022/09/26 by Xinhua Xiong, Xiong, Xinhua, Kunzhen Zhang +1
Mathematics · #11m06 #33c20 #Advanced Mathematical Identities #FOS: Mathematics #Functional Equations Stability Results #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2209.12705

openalex publication_date 2022/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we firstly establish an extended Gauss's summation identity. Using this identity, we compute values of a family of ₄F₃ hypergeometric functions, which generalize the results obtained by Ferretti et al..

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