Surprising identities for the hypergeometric 4F3 function

Jacopo D'Aurizio; Sabino Ditrani

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arXiv · 1708.04269

Surprising identities for the hypergeometric 4F3 function

Jacopo D'Aurizio·Sabino Ditrani

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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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Jacopo D'Aurizio, Sabino Ditrani. 2017-08-09. Surprising identities for the hypergeometric 4F3 function. https://arxiv.org/abs/1708.04269

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