Some identities deriving from the \(n\)th power of a special matrix

DOI10.1186/1687-1847-2012-223zbMath1377.11014OpenAlexW2170419577WikidataQ59271935 ScholiaQ59271935MaRDI QIDQ1690888

Zeynep Akyuz, Serpil Halici

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-223

zbMATH Keywords

matrix methodsecond-order linear recurrenceHoradam sequence

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Q1 AND Q2 MATRIX REPRESENTATIONS OF GENERALIZED k-FIBONACCI SEQUENCE

Cites Work

• On the properties of Lucas numbers with binomial coefficients
• The golden mean in quantum geometry, knot theory and related topics
• On Binomial Sums for the General Second Order Linear Recurrence
• The nth Power of a 2 × 2 Matrix
• Combinatorial Identities Deriving From The $N$-th Power Of A $2\Times 2$ Matrix
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