Surprising identities for the hypergeometric 4F3 function
Number Theory
2017-08-16 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.1708.04269,
title = {Surprising identities for the hypergeometric 4F3 function},
author = {Jacopo D'Aurizio and Sabino Ditrani},
journal= {arXiv preprint arXiv:1708.04269},
year = {2017}
}
Comments
to appear in Bollettino UMI, BUMI-D-17-00046R2