Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

DOI10.1515/math-2017-0096zbMath1427.11017OpenAlexW2759844628MaRDI QIDQ2406594

Prodinger, Helmut

Publication date: 5 October 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0096

zbMATH Keywords

Chebyshev polynomialsinversion formulaexplicit formulascaled Fibonacci numbers

Mathematics Subject Classification ID

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

Related Items

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials, Intertwining maps for the Weitzenböck and Chebyshev derivations, Triangular Bernstein moment-based identification of algebraic curves, Sums of finite products of Chebyshev polynomials of the third and fourth kinds, The derivative connecting problems for some classical polynomials, Derivations and identities for Chebyshev polynomials

Cites Work

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• Binomials transformation formulae for scaled Fibonacci numbers
• Some new identities of Chebyshev polynomials and their applications