On Fibonomial sums identities with special sign functions: analytically q-calculus approach

DOI10.1515/ms-2017-0120zbMath1447.11033OpenAlexW2803857638MaRDI QIDQ4643593

Ilker Akkus, Emrah Kılıç

Publication date: 24 May 2018

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

Full work available at URL: https://doi.org/10.1515/ms-2017-0120

zbMATH Keywords

identitiesGaussian \(q\)-binomial coefficientsfibonomial sums

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 (1)

Explicit formulas for the \(p\)-adic valuations of fibonomial coefficients. II

Cites Work

• The generalized Fibonomial matrix
• On the Fibonacci \(k\)-numbers
• Evaluation of sums involving Gaussian q-binomial coefficients with rational weight functions
• Closed form evaluation of sums containing squares of Fibonomial coefficients

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