A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications

DOI10.1016/J.AMC.2017.02.016zbMath1411.11018OpenAlexW2593909095MaRDI QIDQ1735458

Zhizheng Zhang, Xiaoli Ye

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.02.016

zbMATH Keywords

Fibonacci number\(h(x)\)-Fibonacci polynomialconvolved generalized Fibonacci polynomialextended convolved \(h(x)\)-Fibonacci-Lucas polynomials

Mathematics Subject Classification ID

Recurrences (11B37) Polynomials in real and complex fields: factorization (12D05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (7)

Determinantal and permanental representations of convolved \((u, v)\)-Lucas first kind \(p\)-polynomials ⋮ A common generalization of convolved \((u,v)\)-Lucas first and second kinds \(p\)-polynomials ⋮ Some identities of the generalized Fibonacci and Lucas sequences ⋮ Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials ⋮ Unnamed Item ⋮ Some identities involving Fibonacci polynomials and Fibonacci numbers ⋮ New formulas including convolution, connection and radicals formulas of \(k\)-Fibonacci and \(k\)-Lucas polynomials

Cites Work

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• On a new type of distance Fibonacci numbers
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• More on the infinite sum of reciprocal Fibonacci, Pell and higher order recurrences
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle

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