Connection Problem for Sums of Finite Products of Legendre and Laguerre Polynomials

Connection Problem for Sums of Finite Products of Legendre and Laguerre Polynomials

The purpose of this paper is to represent sums of finite products of Legendre and Laguerre polynomials in terms of several orthogonal polynomials. Indeed, by explicit computations we express each of them as linear combinations of Hermite, generalized Laguerre, Legendre, Gegenbauer and Jacobi polynom...

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Bibliographic Details
Main Authors: Taekyun Kim, Kyung-Won Hwang, Dae San Kim, Dmitry V. Dolgy
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Symmetry
Subjects:
Legendre polynomials
Laguerre polynomials
generalized Laguerre polynomials
Gegenbauer polynomials
hypergeometric functions 1F1 and 2F1
Online Access:http://www.mdpi.com/2073-8994/11/3/317

Internet

http://www.mdpi.com/2073-8994/11/3/317

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