The matrix sequence in terms of bi-periodic Fibonacci numbers

DOI10.31801/cfsuasmas.571975OpenAlexW2963566325WikidataQ127761067 ScholiaQ127761067MaRDI QIDQ5085762

Arzu Erdem Coşkun, Necati Taškara

Publication date: 27 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07487

zbMATH Keywords

generating functionBinet formulabi-periodic Fibonacci numbersbi-periodic Fibonacci matrix sequence

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

On the bi-periodic Padovan sequences

Cites Work

• Two generalizations of Lucas sequence
• A note on generalized \(k\)-Horadam sequence
• On the \((s,t)\)-Pell and \((s,t)\)-Pell-Lucas sequences and their matrix representations
• Incomplete Fibonacci and Lucas \(p\)-numbers
• The generating function of a family of the sequences in terms of the continuant
• On the Fibonacci \(k\)-numbers
• On the representation of \(k\)-generalized Fibonacci and Lucas numbers
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• Some identities on conditional sequences by using matrix method
• Non-homogeneous conditional recurrences
• A Generalized Fibonacci Sequence
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