4 years ago

On integral representations and asymptotics of some hypergeometric functions in two variables.

Malte Henkel, Sascha Wald

The leading asymptotic behaviour of the Humbert functions $\Phi_2$, $\Phi_3$, $\Xi_2$ of two variables is found, when the absolute values of the two independent variables become simultaneosly large. New integral representations of these functions are given. These are re-expressed as inverse Laplace transformations and the asymptotics is then found from a Tauberian theorem. Some integrals of the Humbert functions are also analysed.

Publisher URL: http://arxiv.org/abs/1707.06275

DOI: arXiv:1707.06275v2

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