Titel
A weighted extension of Fibonacci numbers
Autor*in
Gaurav Bhatnagar
Ashoka University
Archna Kumari
Department of Mathematics, Indian Institute of Technology
Abstract
We extend Fibonacci numbers with arbitrary weights and generalize a dozen Fibonacci identities. As a special case, we propose an elliptic extension which extends the q-Fibonacci polynomials appearing in Schur's work. The proofs of most of the identities are combinatorial, extending the proofs given by Benjamin and Quinn, and in the q-case, by Garrett. Some identities are proved by telescoping.
Stichwort
Fibonacci numberscombinatorial identitiesweighted extensionselliptic
extensions
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
Erschienen in
Titel
Journal of Difference Equations and Applications
Band
29
Ausgabe
7
ISSN
1023-6198
Erscheinungsdatum
2023
Seitenanfang
733
Seitenende
747
Publication
Informa UK Limited
Projekt
Kod / Identifikator
P 32305
Erscheinungsdatum
2023
Zugänglichkeit
Rechte
Rechteangabe
© 2023 The Author(s)
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