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Discrete Hypergeometric Legendre Polynomials

Author

Listed:
  • 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)

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.

Suggested Citation

  • Tom Cuchta & Rebecca Luketic, 2021. "Discrete Hypergeometric Legendre Polynomials," Mathematics, MDPI, vol. 9(20), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2546-:d:653457
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    Cited by:

    1. Dionisio Peralta & Yamilet Quintana & Shahid Ahmad Wani, 2023. "Mixed-Type Hypergeometric Bernoulli–Gegenbauer Polynomials," Mathematics, MDPI, vol. 11(18), pages 1-16, September.

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