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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Vydáno v:Journal of difference equations and applications Ročník 23; číslo 7; s. 1204 - 1218
Hlavní autoři: Liu, Hongmei, Zhou, Wenshu, Ding, Shuyan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 03.07.2017
Taylor & Francis Ltd
Témata:
33C20
Applied mathematics
derivative
digamma functions
Harmonic number summation formulae
Hypergeometric series
Numbers
Theorems
ISSN:1023-6198, 1563-5120
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Popis
Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2017.1318861