Some identities involving the partial sum of \(q\)-binomial coefficients

zbMath1301.11017MaRDI QIDQ405302

Bing He

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i3p17

zbMATH Keywords

binomial coefficients\(q\)-binomial theorem\(q\)-binomial coefficients

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (4)

Some congruences on \(q\)-Catalan numbers ⋮ Evaluation of various partial sums of Gaussian \(q\)-binomial sums ⋮ Unnamed Item ⋮ Summations on the diagonals of a Riordan array and some applications

Cites Work

• Unnamed Item
• Unnamed Item
• A generalization of Calkin's identity
• A \(q\)-analogue of Zhang's binomial coefficient identities
• Calkin's binomial identity
• A kind of binomial identity
• A curious binomial identity
• On extensions of Calkin's binomial identities

This page was built for publication: Some identities involving the partial sum of \(q\)-binomial coefficients