Surprising identities for the hypergeometric 4F3 function

2017/08/09 by Jacopo D’Aurizio, D'Aurizio, Jacopo, Sabino Ditrani +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1708.04269

openalex publication_date 2017/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A convolution approach leading to an explicit computation of a value of a 4F3 function is outlined. We also investigate about the role of the dilogarithm reflection formula, leading to a remarkable consequence: in some cases, values of 4F3 are given by linear combinations of a squared arctangent and a squared logarithm.

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