2006
Asymptotics of a 3F2 polynomial associated with the Catalan-Larcombe-French sequence
Publication
Publication
The large n behaviour of the hypergeometric polynomial $3F_2 (_{1over2 - n,1over2-n}^{-n,1over2,1over2};-1) is considered by using integral representations of this polynomial. This3F2 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 generatingfunction of the sequence. The results are similar to those obtained byClark (2004) who used a binomial sum for obtaining an asymptotic expansion.
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CWI | |
Modelling, Analysis and Simulation [MAS] | |
Temme, N. (2006). Asymptotics of a 3F2 polynomial associated with the Catalan-Larcombe-French sequence. Modelling, Analysis and Simulation [MAS]. CWI. |