Surprising identities for the hypergeometric 4F3 function

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.

to appear in Bollettino UMI, BUMI-D-17-00046R2