Some results on co-recursive associated Laguerre and Jacobi polynomials

1993/07/09 by Jean Letessier, Letessier, Jean
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.math/9307217

openalex publication_date 1993/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present results on co-recursive associated Laguerre and Jacobi polynomials which are of interest for the solution of the Chapman-Kolmogorov equations of some birth and death processes with or without absorption. Explicit forms, generating functions, and absolutely continuous part of the spectral measures are given. We derive fourth-order differential equations satisfied by the polynomials with a special attention to some simple limiting cases.

Citations

• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications

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