Q1 AND Q2 MATRIX REPRESENTATIONS OF GENERALIZED k-FIBONACCI SEQUENCE

DOI10.17654/0972555522013zbMath1499.11044OpenAlexW4220810860WikidataQ114049339 ScholiaQ114049339MaRDI QIDQ5865373

Nasir Ahmad, Leena Prasher

Publication date: 13 June 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/0972555522013

zbMATH Keywords

Cassini's identityCatalan's identityd'Ocagne's identitybinet formulaGelin-Cesàro identity\(Q_1\) and \(Q_2\) matricesgeneralized \(k\)-Fibonacci sequence

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some identities deriving from the \(n\)th power of a special matrix
• Fibonacci properties by matrix methods
• An Application of Matrices to Linear Recursion Relations
• Generalized Fibonacci Numbers and Associated Matrices
• Some Properties of the Fibonacci Numbers
• On $k$-Fibonacci sums by matrix methods

This page was built for publication: Q1 AND Q2 MATRIX REPRESENTATIONS OF GENERALIZED k-FIBONACCI SEQUENCE