Sums of reciprocals of triple binomial coefficients

DOI10.1155/2008/794181zbMath1140.11306DBLPjournals/ijmmsc/Sofo08OpenAlexW2079919311WikidataQ58644839 ScholiaQ58644839MaRDI QIDQ938508

Anthony Sofo

Publication date: 19 August 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54276

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15)

Cites Work

• A 21st century proof of Dougall's hypergeometric sum identity
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• Values of the Riemann zeta functions and integrals involving \(\log (2\sinh {\theta\over 2})\) and \(\log (2\sin {\theta\over 2})\)
• Some interesting series arising from the power series expansion of \((\sin^{-1}x)^q\)
• A Note on the Irrationality of ζ(2) and ζ(3)
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