Some combinatorial series identities and rational sums

DOI10.1080/10652460802499786zbMath1225.33003OpenAlexW2158255698MaRDI QIDQ3605082

Rekha Srivastava

Publication date: 19 February 2009

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

Full work available at URL: https://doi.org/10.1080/10652460802499786

zbMATH Keywords

gamma functionhypergeometric seriesrational functionsrecurrence relationsbinomial coefficientsharmonic numberscombinatorial series identitiesfinite sumsrational sumsPfaff-Saalschütz theoremparametric constraintssummation theoremshigher-order hypergeometric seriesEuler's transformationdigamma and polygamma functions

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

Some families of combinatorial and other series identities and their applications, Harmonic number identities via the Newton-Andrews method, Harmonic numbers and double binomial coefficients, Harmonic sums and integral representations

Cites Work

• Some combinatorial identities associated with the Vandermonde convolution
• Some convolution series identities
• Some combinatorial series identities
• Some identities involving rational sums
• Some more identities involving rational sums
• Identities involving rational sums by inversion and partial fraction decomposition
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