Asymptotics of a 3F2 polynomial associated with the Catalan-Larcombe-French sequence
Nico M. Temme
Abstract
The large n behaviour of the hypergeometric polynomial -n121212-n12-n-1 is considered by using integral representations of this polynomial. This 3F2 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.
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