Displaying similar documents to “Integrals and polygamma representations for binomial sums.”

Integer powers of arcsin.

Borwein, Jonathan M., Chamberland, Marc (2007)

International Journal of Mathematics and Mathematical Sciences

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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.