A Family of New Generating Functions for the Chebyshev Polynomials, Based on Works by Laplace, Lagrange and Euler

A Family of New Generating Functions for the Chebyshev Polynomials, Based on Works by Laplace, Lagrange and Euler

Analyzing, developing and exploiting results obtained by Laplace in 1785 on the Fourier-series expansion of the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow><mo>(</mo>&l...

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Bibliographic Details
Main Authors: Claude Brezinski, Michela Redivo-Zaglia
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Mathematics
Subjects:
orthogonal polynomials
expansions
generating functions
Legendre polynomials
Chebyshev polynomials
Gegenbauer polynomials
Online Access:https://www.mdpi.com/2227-7390/12/5/751

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https://www.mdpi.com/2227-7390/12/5/751

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