Chebyshev polynomials and their some interesting applications

DOI10.1186/s13662-017-1365-1zbMath1422.33004OpenAlexW2758784115WikidataQ59524023 ScholiaQ59524023MaRDI QIDQ1710034

Li Chen, Wen Peng Zhang

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-017-1365-1

zbMATH Keywords

Chebyshev polynomialspower sumsFibonacci polynomialsLucas polynomialsdivisibility property

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special polynomials in general fields (12E10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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Cites Work

• 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
• Some identities involving the reciprocal sums of one-kind Chebyshev polynomials
• On shifted Jacobi spectral approximations for solving fractional differential equations
• Identities and generating functions on Chebyshev polynomials
• A Jacobi spectral Galerkin method for the integrated forms of fourth‐order elliptic differential equations
• Some identities for Bernoulli polynomials involving Chebyshev polynomials
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