Discrete Hypergeometric Legendre Polynomials

Discrete Hypergeometric Legendre Polynomials

A discrete analog of the Legendre polynomials defined by discrete hypergeometric series is investigated. The resulting polynomials have qualitatively similar properties to classical Legendre polynomials. We derive their difference equations, recurrence relations, and generating function.

Bibliographic Details
Main Authors: Tom Cuchta, Rebecca Luketic
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
Legendre polynomial
hypergeometric function
special functions
recurrence relation
generating function
difference equation
Online Access:https://www.mdpi.com/2227-7390/9/20/2546

Internet

https://www.mdpi.com/2227-7390/9/20/2546

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