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Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials

Author

Listed:
  • Itsaso Fernández-Irisarri

    (Departamento de Física Teórica, Universidad Complutense, 28040 Madrid, Spain)

  • Manuel Mañas

    (Departamento de Física Teórica, Universidad Complutense, 28040 Madrid, Spain)

Abstract

The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ 0 = 2 F 1 a , b c + 1 ; η . For the Gauss hypergeometric discrete orthogonal polynomials, also known as generalized Hahn of type I, Laguerre–Freud equations are found, and the differences with the equations found by Dominici and by Filipuk and Van Assche are provided.

Suggested Citation

  • Itsaso Fernández-Irisarri & Manuel Mañas, 2023. "Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials," Mathematics, MDPI, vol. 11(23), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4866-:d:1293673
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