Asymptotics of a ${}_3F_2$ polynomial associated with the Catalan-Larcombe-French sequence
Classical Analysis and ODEs
2016-09-07 v1
Abstract
The large behaviour of the hypergeometric polynomial is considered by using integral representations of this polynomial. This polynomial is associated with the Catalan-Larcombe-French sequence. Several other representations are mentioned, with references to the literature, and another asymptotic method is described by using a generating function of the sequence. The results are similar to those obtained by Clark (2004) who used a binomial sum for obtaining an asymptotic expansion.
Keywords
Cite
@article{arxiv.math/0610191,
title = {Asymptotics of a ${}_3F_2$ polynomial associated with the Catalan-Larcombe-French sequence},
author = {Nico M. Temme},
journal= {arXiv preprint arXiv:math/0610191},
year = {2016}
}
Comments
10 pages, 1 figure. Accepted for publication in {\em Analysis and Applications}