Generalized harmonic number summation formulae via hypergeometric series and digamma functions

By computing the derivatives of five classical hypergeometric summation theorems, and applying the related properties of the digamma function, we derive a large number of closed summation formulae for generalized harmonic numbers.

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Vydané v:	Journal of difference equations and applications Ročník 23; číslo 7; s. 1204 - 1218
Hlavní autori:	Liu, Hongmei, Zhou, Wenshu, Ding, Shuyan
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Abingdon Taylor & Francis 03.07.2017 Taylor & Francis Ltd
Predmet:	33C20 Applied mathematics derivative digamma functions Harmonic number summation formulae Hypergeometric series Numbers Theorems
ISSN:	1023-6198, 1563-5120
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