On sums of squares of Fibonomial coefficients by q-calculus

DOI10.1142/S1793557116500625zbMath1344.05011OpenAlexW2281073917MaRDI QIDQ2818306

Aynur Yalçiner, Emrah Kılıç

Publication date: 7 September 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557116500625

zbMATH Keywords

\(q\)-identities\(q\)-analysiscentral fibonomial coefficientssums identities

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• 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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