Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials

DOI

10.2991/jnmp.2003.10.s2.19How to use a DOI?

Abstract

The recurrence coefficients of generalized Charlier polynomials satisfy a system of nolinear recurrence relations. We simplify the recurrence relations, show that they are related to certain discrete Painlevé equations, and analyze the asymptotic behaviour.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Walter Van Assche
AU  - Mama Foupouagnigni
PY  - 2003
DA  - 2003/12/01
TI  - Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 231
EP  - 237
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.19
DO  - 10.2991/jnmp.2003.10.s2.19
ID  - Assche2003
ER  -