Harmonic numbers and cubed binomial coefficients

DOI10.1155/2011/208260zbMath1282.11011OpenAlexW2042466511WikidataQ58655888 ScholiaQ58655888MaRDI QIDQ666516

Anthony Sofo

Publication date: 8 March 2012

Published in: International Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/208260

zbMATH Keywords

beta functionRiemann zeta functionEuler sumsharmonic numberspolygamma function

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Evaluations of sums involving harmonic numbers and binomial coefficients

Uses Software

• Mathematica

Cites Work

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• Combinatorial identities and inverse binomial coefficients
• A new method in the study of Euler sums
• Integral forms of sums associated with harmonic numbers
• Sums of derivatives of binomial coefficients
• Series representations for some mathematical constants
• The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\)
• Harmonic sums and integral representations
• Harmonic numbers and double binomial coefficients
• Euler Sums and Contour Integral Representations
• Values of the polygamma functions at rational arguments