SUMS, PRODUCTS AND IDENTITIES INVOLVING k-FIBONACCI AND k-LUCAS SEQUENCES

DOI10.17654/JPANTAFeb2014_063_077zbMath1343.11018OpenAlexW2520752734WikidataQ57631706 ScholiaQ57631706MaRDI QIDQ2875393

Ana Paula Aires, Helena B. Campos, Anabela Borges, Paulo Vasco, Paula Maria Machado Cruz Catarino

Publication date: 14 August 2014

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

Full work available at URL: http://www.pphmj.com/abstract/8325.htm

zbMATH Keywords

recurrence relationsFibonacci numbersLucas numbers\(k\)-Fibonacci numbersBinet's formula\(k\)-Lucas numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

The \(h(x)\)-Fibonacci quaternion polynomials: some combinatorial properties ⋮ On split \(k\)-Fibonacci and \(k\)-Lucas quaternions ⋮ The modified Pell and the modified \(k\)-Pell quaternions and octonions ⋮ The \(p\)-adic order of the \(k\)-Fibonacci and \(k\)-Lucas numbers ⋮ Hybrid Quaternions of Leonardo ⋮ On some new arithmetic properties of the generalized Lucas sequences ⋮ k-Pell, k-Pell–Lucas and modified k-Pell sedenions ⋮ A note on \(h(x)\)-Fibonacci quaternion polynomials ⋮ On the generalizations of Fibonacci identities ⋮ SOME PROPERTIES OF THE GENERALIZED FIBONACCI SEQUENCE {q_n} BY MATRIX METHODS ⋮ Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials ⋮ On k-Pell hybrid numbers

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