Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions

• Autorzy: István Mező
• Języki publikacji: EN

Abstrakty

EN

There is a circle of problems concerning the exponential generating function of harmonic numbers. The main results come from Cvijovic, Dattoli, Gosper and Srivastava. In this paper, we extend some of them. Namely, we give the exponential generating function of hyperharmonic numbers indexed by arithmetic progressions; in the sum several combinatorial numbers (like Stirling and Bell numbers) and the hypergeometric function appear.

Słowa kluczowe

EN

Harmonic numbers; Hyperharmonic numbers; Hypergeometric function; Stirling numbers; r-Stirling numbers; Bell numbers; Dobinski formula; Exponential integral; Digamma function

Kategorie tematyczne

• 05A15: Exact enumeration problems, generating functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 5
• Strony: 931-939

Daty

wydano

2013-05-01

online

2013-03-14

Twórcy

autor

István Mező

• Ladrón de Guevara

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Identyfikatory

DOI

10.2478/s11533-013-0214-z