Discrete Hypergeometric Legendre Polynomials

Tom Cuchta and Rebecca Luketic
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Tom Cuchta: Department of Computer Science and Mathematics, Fairmont State University, Fairmont, WV 26554, USA
Rebecca Luketic: Department of Computer Science and Mathematics, Fairmont State University, Fairmont, WV 26554, USA

Mathematics, 2021, vol. 9, issue 20, 1-10

Abstract: 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.

Keywords: Legendre polynomial; hypergeometric function; special functions; recurrence relation; generating function; difference equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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