Evaluation of various partial sums of Gaussian \(q\)-binomial sums

DOI10.1007/S40065-017-0191-3zbMath1436.11101OpenAlexW2773151166WikidataQ59515107 ScholiaQ59515107MaRDI QIDQ1635822

Emrah Kılıç

Publication date: 1 June 2018

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-017-0191-3

zbMATH Keywords

Gaussian \(q\)-binomial sums

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Gauss and Kloosterman sums; generalizations (11L05)

Cites Work

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• Some identities involving the partial sum of \(q\)-binomial coefficients
• A \(q\)-analog of the hyperharmonic numbers
• A \(q\)-analogue of Zhang's binomial coefficient identities
• Calkin's binomial identity
• A curious binomial identity
• Some Gaussian binomial sum formulæ with applications
• Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications to Fibonomial sums
• Partial row-sums of Pascal's triangle

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