On the Lucas polynomials and some of their new identities

DOI10.1186/S13662-018-1527-9zbMath1445.11011OpenAlexW2802958300MaRDI QIDQ1712100

Zhang Jin

Publication date: 21 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1527-9

zbMATH Keywords

elementary methodidentityFibonacci polynomialsLucas polynomialscombination method

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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Cites Work

• Some identities involving Chebyshev polynomials
• Chebyshev polynomials and their some interesting applications
• Some identities involving the reciprocal sums of one-kind Chebyshev polynomials
• Some new results on products of Apostol-Bernoulli and Apostol-Euler polynomials
• General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials
• Some identities for Bernoulli polynomials involving Chebyshev polynomials
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