Mixed binomial sum identities

DOI10.1080/10652469.2012.685937zbMath1262.05003OpenAlexW2051193010MaRDI QIDQ4915314

Anthony Sofo

Publication date: 10 April 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.685937

zbMATH Keywords

series representationsbinomial coefficientsharmonic numbersRiemann zeta functions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (5)

Some results on \(q\)-harmonic number sums ⋮ New results containing quadratic harmonic numbers ⋮ Unnamed Item ⋮ Explicit evaluation of harmonic sums ⋮ Evaluations of sums involving harmonic numbers and binomial coefficients

Cites Work

• Unnamed Item
• Some summation formulas involving harmonic numbers and generalized harmonic numbers
• Identities for the harmonic numbers and binomial coefficients
• Summation formula involving harmonic numbers
• Riordan arrays and harmonic number identities
• Certain summation formulas involving harmonic numbers and generalized harmonic numbers
• A pair of operator summation formulas and their applications
• Integral forms of sums associated with harmonic numbers
• Factors of binomial sums from the Catalan triangle
• Series and product representations for some mathematical constants
• Sums of derivatives of binomial coefficients
• Series representations for some mathematical constants
• Further summation formulae related to generalized harmonic numbers
• Harmonic sums and integral representations
• Euler Sums and Contour Integral Representations
• Experimental Evaluation of Euler Sums

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