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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Displaying similar documents to “Integral representations and binomial coefficients.”
Asymptotic expansions of certain sums involving powers of binomial coefficients.
Integrals and polygamma representations for binomial sums.
Sofo, Anthony (2010)
Journal of Integer Sequences [electronic only]
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Integral representations of generalized Lauricella hypergeometric functions.
Vu Kim Tuan, Buschman, Robert G. (1992)
International Journal of Mathematics and Mathematical Sciences
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Some summation formulae over the set of partitions.
Chu, W.C., Raina, R.K. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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Continued fractions and transformations of integer sequences.
Barry, Paul (2009)
Journal of Integer Sequences [electronic only]
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Sums of reciprocals of triple binomial coefficients.
Sofo, A. (2008)
International Journal of Mathematics and Mathematical Sciences
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General properties involving reciprocals of binomial coefficients.
Sofo, Anthony (2006)
Journal of Integer Sequences [electronic only]
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Beukers' integrals and Apéry's recurrences.
Jain, Lalit, Tzermias, Pavlos (2005)
Journal of Integer Sequences [electronic only]
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On -binomial coefficients.
Corcino, Roberto B. (2008)
Integers
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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.