Sums of reciprocals of the central binomial coefficients.
Sprugnoli, Renzo (2006)
Integers
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Displaying similar documents to “Integrals and polygamma representations for binomial sums.”
Sums of reciprocals of the central binomial coefficients.
Some results for generalized harmonic numbers.
Feng, Congjiao, Zhao, Fengzhen (2009)
Integers
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General properties involving reciprocals of binomial coefficients.
Sofo, Anthony (2006)
Journal of Integer Sequences [electronic only]
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Evaluations of some variant Euler sums.
Chen, Hongwei (2006)
Journal of Integer Sequences [electronic only]
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Sums involving the inverses of binomial coefficients.
Yang, Jin-Hua, Zhao, Feng-Zhen (2006)
Journal of Integer Sequences [electronic only]
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Asymptotic expansions of certain sums involving powers of binomial coefficients.
Zhao, Chun-Xue, Zhao, Feng-Zhen (2010)
Journal of Integer Sequences [electronic only]
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Integer powers of arcsin.
Borwein, Jonathan M., Chamberland, Marc (2007)
International Journal of Mathematics and Mathematical Sciences
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Integral representations and binomial coefficients.
Wang, Xiaoxia (2010)
Journal of Integer Sequences [electronic only]
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Generalized reciprocity laws for sums of harmonic numbers.
Kuba, Markus, Prodinger, Helmut, Schneider, Carsten (2008)
Integers
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Evaluations of -fold Euler/Zagier sums: a compendium of results for arbitrary .
Borwein, J.M., Bradley, D.M., Broadhurst, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions
István Mező (2013)
Open Mathematics
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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.
Integrals of logarithmic and hypergeometric functions
Anthony Sofo (2016)
Communications in Mathematics
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Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. In this paper we explore many relations and explicitly derive closed form representations of integrals of logarithmic, hypergeometric functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.