Asymptotic expansions of certain sums involving powers of binomial coefficients.
Zhao, Chun-Xue, Zhao, Feng-Zhen (2010)
Journal of Integer Sequences [electronic only]
Similarity:
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]
Similarity:
Integral representations of generalized Lauricella hypergeometric functions.
Vu Kim Tuan, Buschman, Robert G. (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Some summation formulae over the set of partitions.
Chu, W.C., Raina, R.K. (1992)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Continued fractions and transformations of integer sequences.
Barry, Paul (2009)
Journal of Integer Sequences [electronic only]
Similarity:
Sums of reciprocals of triple binomial coefficients.
Sofo, A. (2008)
International Journal of Mathematics and Mathematical Sciences
Similarity:
General properties involving reciprocals of binomial coefficients.
Sofo, Anthony (2006)
Journal of Integer Sequences [electronic only]
Similarity:
Beukers' integrals and Apéry's recurrences.
Jain, Lalit, Tzermias, Pavlos (2005)
Journal of Integer Sequences [electronic only]
Similarity:
On -binomial coefficients.
Corcino, Roberto B. (2008)
Integers
Similarity:
Integrals of logarithmic and hypergeometric functions
Anthony Sofo (2016)
Communications in Mathematics
Similarity:
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.
On integral representations of -gamma and -beta functions
Alberto De Sole, Victor G. Kac (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We study -integral representations of the -gamma and the -beta functions. As an application of these integral representations, we obtain a simple conceptual proof of a family of identities for Jacobi triple product, including Jacobi's identity, and of Ramanujan's formula for the bilateral hypergeometric series.