Evaluation of sums involving Gaussian q-binomial coefficients with rational weight functions

DOI10.1142/S1793042116500305zbMath1396.11043OpenAlexW1826163083MaRDI QIDQ2789378

Prodinger, Helmut, Emrah Kılıç

Publication date: 29 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042116500305

zbMATH Keywords

identities\(q\)-binomial coefficientpartial fraction decompositionfibonomial coefficients

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

Some Gaussian binomial sum formulæ with applications ⋮ Unnamed Item ⋮ Asymptotics for Bailey-type mock theta functions ⋮ Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications to Fibonomial sums ⋮ On Fibonomial sums identities with special sign functions: analytically q-calculus approach ⋮ Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients ⋮ Quadratic sums of Gaussian \(q\)-binomial coefficients and Fibonomial coefficients ⋮ On sums of squares of Fibonomial coefficients by q-calculus ⋮ q-binomial formulae of Dixon`s type and the Fibonomial sums

Cites Work

• Unnamed Item
• Unnamed Item

This page was built for publication: Evaluation of sums involving Gaussian q-binomial coefficients with rational weight functions