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

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

Abstract The principal aim of the current article is to establish new formulas of Chebyshev polynomials of the sixth-kind. Two different approaches are followed to derive new connection formulas between these polynomials and some other orthogonal polynomials. The connection coefficients are expresse...

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Bibliographic Details
Main Authors: Waleed M. Abd-Elhameed, Youssri H. Youssri
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
Chebyshev polynomials
Connection coefficients
Zeilberger’s and Petkovsek’s algorithms
Generalized hypergeometric functions
Moment formulas
Linearization problems
Online Access:https://doi.org/10.1186/s13662-021-03244-9

Internet

https://doi.org/10.1186/s13662-021-03244-9

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