Sums of finite products of Legendre and Laguerre polynomials

Sums of finite products of Legendre and Laguerre polynomials

Abstract In this paper, we study sums of finite products of Legendre and Laguerre polynomials and derive Fourier series expansions of functions associated with them. From these Fourier series expansions, we are going to express those sums of finite products as linear combinations of Bernoulli polyno...

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Bibliographic Details
Main Authors: Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jin-Woo Park
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Advances in Difference Equations
Subjects:
Fourier series
Finite products
Legendre polynomials
Laguerre polynomials
Bernoulli polynomials
Euler polynomials
Online Access:http://link.springer.com/article/10.1186/s13662-018-1740-6

Internet

http://link.springer.com/article/10.1186/s13662-018-1740-6

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