Closed form evaluation of sums containing squares of Fibonomial coefficients

DOI10.1515/ms-2015-0177zbMath1389.11044OpenAlexW2510329265MaRDI QIDQ2826350

Prodinger, Helmut, Emrah Kılıç

Publication date: 14 October 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0177

zbMATH Keywords

\(q\)-analysissums identitiescentral Fibonomial coefficients

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (7)

Some Gaussian binomial sum formulæ with applications ⋮ Explicit formulas for the \(p\)-adic valuations of fibonomial coefficients. II ⋮ 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

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