Some Formulas and Recurrences of Certain Orthogonal Polynomials Generalizing Chebyshev Polynomials of the Third-Kind

Some Formulas and Recurrences of Certain Orthogonal Polynomials Generalizing Chebyshev Polynomials of the Third-Kind

This paper investigates certain Jacobi polynomials that involve one parameter and generalize the well-known orthogonal polynomials called Chebyshev polynomials of the third-kind. Some new formulas are developed for these polynomials. We will show that some of the previous results in the literature c...

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Bibliographic Details
Main Authors: Waleed Mohamed Abd-Elhameed, Mohamed Salem Al-Harbi
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Symmetry
Subjects:
orthogonal polynomials
Chebyshev polynomials
recurrence relations
connection and linearization formulas
generalized hypergeometric functions
Online Access:https://www.mdpi.com/2073-8994/14/11/2309

Internet

https://www.mdpi.com/2073-8994/14/11/2309

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