Some new identities of Chebyshev polynomials and their applications

DOI10.1186/S13662-015-0690-5zbMath1422.11031OpenAlexW2175020060WikidataQ59436335 ScholiaQ59436335MaRDI QIDQ1991050

Wang Siyi

Publication date: 29 October 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0690-5

zbMATH Keywords

identityFibonacci numberLucas numbersecond kind Chebyshev polynomials

Mathematics Subject Classification ID

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

Related Items (7)

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials ⋮ A new identity involving the Chebyshev polynomials ⋮ Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions ⋮ Some results for sums of products of Chebyshev and Legendre polynomials ⋮ Chebyshev-Fibonacci polynomial relations using generating functions ⋮ Expressing sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials by several orthogonal polynomials ⋮ On the Chebyshev polynomials and some of their new identities

Cites Work

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• On Chebyshev's polynomials and certain combinatorial identities
• A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
• Some identities involving the derivative of the first kind Chebyshev polynomials
• Some identities involving Chebyshev polynomials
• Identities and generating functions on Chebyshev polynomials
• A Jacobi spectral Galerkin method for the integrated forms of fourth‐order elliptic differential equations

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