Articles dans des revues à comité de lecture
|On integral representations and asymptotics of some hypergeometric functions in two variables|
|Wald S., Henkel M.|
|Integral Transforms Spec. Funct. (2017) (sous presse)|
|ArXiv : arxiv:1707.06275 [PDF]|
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.