Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials

DOI10.1186/s13660-018-1744-5zbMath1498.11073OpenAlexW2810917149WikidataQ55709835 ScholiaQ55709835MaRDI QIDQ824626

N. E. Zubov

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1744-5

zbMATH Keywords

Fourier seriesChebyshev polynomials of second kindFibonacci polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (10)

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials ⋮ Some results for sums of products of Chebyshev and Legendre polynomials ⋮ Chebyshev-Fibonacci polynomial relations using generating functions ⋮ Sums of finite products of Legendre and Laguerre polynomials ⋮ Unnamed Item ⋮ Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds ⋮ Unnamed Item ⋮ New families of three-variable polynomials coupled with well-known polynomials and numbers ⋮ Complex spirals and pseudo-Chebyshev polynomials of fractional degree ⋮ Representation by Chebyshev polynomials for sums of finite products of Chebyshev polynomials

Cites Work

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• Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
• Bernoulli number identities from quantum field theory and topological string theory
• Sums of Finite Products of Euler Functions
• Fourier series of sums of products of Bernoulli functions and their applications
• AN APPLICATION OF p-ADIC CONVOLUTIONS

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