Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas

DOI10.1186/s13662-021-03244-9zbMath1487.33006OpenAlexW3163972955MaRDI QIDQ2136688

Youssri H. Youssri, Waleed M. Abd-Elhameed

Publication date: 12 May 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-021-03244-9

zbMATH Keywords

Chebyshev polynomialsconnection coefficientsgeneralized hypergeometric functionsmoment formulaslinearization problemsZeilberger's and Petkovsek's algorithms

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Special sequences and polynomials (11B83) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (5)

FACTORING VARIANTS OF CHEBYSHEV POLYNOMIALS WITH MINIMAL POLYNOMIALS OF ⋮ Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional ⋮ Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem ⋮ Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs ⋮ Sixth-kind Chebyshev spectral approach for solving fractional differential equations

Uses Software

• DLMF
• SumTools

Cites Work

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