A weighted extension of Fibonacci numbers

DOI10.1080/10236198.2023.2251594arXiv2301.08016OpenAlexW4386279590MaRDI QIDQ6081492

Gaurav Bhatnagar, Archna Kumari, Michael J. Schlosser

Publication date: 5 October 2023

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.08016

zbMATH Keywords

combinatorial identitiesFibonacci numberselliptic extensionsweighted extensions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Elliptic functions and integrals (33E05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Elliptic rook and file numbers
• In praise of an elementary identity of Euler
• Elliptic extensions of the alpha-parameter model and the rook model for matchings
• An elliptic extension of the general product formula for augmented rook boards
• Elliptic enumeration of nonintersecting lattice paths
• The so-called Fibonacci numbers in ancient and medieval India
• Weight-dependent commutation relations and combinatorial identities
• Variants of the Rogers-Ramanujan identities
• A noncommutative weight-dependent generalization of the binomial theorem
• Analogues of a Fibonacci-Lucas Identity
• Elliptic and \(q\)-analogs of the fibonomial numbers
• Elliptic and \(q\)-analogs of the fibonomial numbers
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