Some identities involving the reciprocal sums of one-kind Chebyshev polynomials

DOI10.1155/2017/4194579zbMath1426.33029OpenAlexW2736223503WikidataQ59147537 ScholiaQ59147537MaRDI QIDQ1992722

Yuankui Ma, Xing Xing Lv

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4194579

Mathematics Subject Classification ID

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 (11)

On the power sum problem of Lucas polynomials and its divisible property ⋮ One kind hybrid character sums and their upper bound estimates ⋮ A new identity involving the Chebyshev polynomials ⋮ Chebyshev polynomials and their some interesting applications ⋮ On Chebyshev polynomials and their applications ⋮ On the Lucas polynomials and some of their new identities ⋮ One kind special Gauss sums and their mean square values ⋮ Unnamed Item ⋮ Some symmetric identities involving Fubini polynomials and Euler numbers ⋮ Some identities involving Fibonacci polynomials and Fibonacci numbers ⋮ The power sums involving Fibonacci polynomials and their applications

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
• Chebyshev polynomials and generalized complex numbers
• Integral transforms and Chebyshev-like polynomials.
• 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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