Centrum Voor Wiskunde En Informatica Uniform Asymptotics for the Incomplete Gamma Functions Starting from Negative Values of the Parameters

@inproceedings{Temme2007CentrumVW,
title={Centrum Voor Wiskunde En Informatica Uniform Asymptotics for the Incomplete Gamma Functions Starting from Negative Values of the Parameters},
author={Nico M. Temme},
year={2007}
}

REPORTRAPPORT Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters Abstract We consider the asymptotic behavior of the incomplete gamma functions (?a; ?z) and ?(?a; ?z) as a ! 1. Uniform expansions are needed to describe the transition area z a, in which case error functions are used as main approximants. We use integral representations of the incomplete gamma functions and derive a uniform expansion by applying techniques used for the existing… CONTINUE READING