Some results on co-recursive associated Laguerre and Jacobi polynomials

Details Some results on co-recursive associated Laguerre and Jacobi polynomials Some results on co-recursive associated Laguerre and Jacobi polynomials

1993-07-09

arxiv.org/abs/math/9307217v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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