An extension for Rice's integral and applications

DOI10.1186/s13660-015-0557-zzbMath1308.05006OpenAlexW2153769689WikidataQ59426421 ScholiaQ59426421MaRDI QIDQ2260910

Qiu-Ming Luo, Taotao Liu

Publication date: 12 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0557-z

zbMATH Keywords

binomial identityRice's integralCauchy's residue formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Cites Work

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• Some array type polynomials associated with special numbers and polynomials
• New multiple harmonic sum identities
• Riordan arrays and harmonic number identities
• Mellin transforms and asymptotics: Finite differences and Rice's integrals
• A note on alternating sums
• Identities on harmonic and \(q\)-harmonic number sums
• \(q\)-generalizations of Mortenson's identities and further identities
• Sums of derivatives of binomial coefficients
• A Probabilistic Proof of a Binomial Identity
• Harmonic number identities via hypergeometric series and Bell polynomials
• On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid
• Some Identities Involving Harmonic Numbers
• Human proofs of identities by Osburn and Schneider

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