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Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions

  • Research Article
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Central European Journal of Mathematics

Abstract

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.

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  1. Departamento de Matemática, Escuela Politécnica Nacional, Ladrón de Guevara, E11-253, Quito, Ecuador

    István Mező

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  1. István Mező
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Correspondence to István Mező.

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Mező, I. Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions. centr.eur.j.math. 11, 931–939 (2013). https://doi.org/10.2478/s11533-013-0214-z

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  • DOI: https://doi.org/10.2478/s11533-013-0214-z

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