On Chebyshev polynomials and their applications

DOI10.1186/s13662-017-1387-8zbMath1444.33006OpenAlexW2765741052WikidataQ59523774 ScholiaQ59523774MaRDI QIDQ1710103

Shimeng Shen, Xing Xing Lv

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/s13662-017-1387-8

zbMATH Keywords

Chebyshev polynomialscomputational formulastrigonometric power sums

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) Classical groups (11E57) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

The trace method for cotangent sums ⋮ On the spectral norms of some circulant matrices with the trigonometric functions

Cites Work

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• Basic trigonometric power sums with applications
• On Chebyshev's polynomials and certain combinatorial identities
• 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
• Some identities for Bernoulli polynomials involving Chebyshev polynomials

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