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