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.
Surprising identities for the hypergeometric 4F3 function / D'Aurizio, J; Di Trani, S. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 11:(2018), pp. 403-409. [https://doi.org/10.1007/s40574-017-0142-0]
Surprising identities for the hypergeometric 4F3 function
DI TRANI S
2018
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.File allegati a questo prodotto
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