## On integral representations and asymptotics of some hypergeometric functions in two variables. (arXiv:1707.06275v2 [math-ph] UPDATED)

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.查看全文

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 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.