Some results on co-recursive associated Laguerre and Jacobi polynomials
Classical Analysis and ODEs
2016-09-06 v1
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.
Cite
@article{arxiv.math/9307217,
title = {Some results on co-recursive associated Laguerre and Jacobi polynomials},
author = {Jean Letessier},
journal= {arXiv preprint arXiv:math/9307217},
year = {2016}
}