Barnes-Ismagilov integrals and hypergeometric functions of the complex field

Yury A. Neretin

We examine a family ${}_p{G}_q^{\mathbb{C}}[\genfrac{}{}{0ex}{}{(a)}{(b)};z]$ of integrals of Mellin-Barnes type over the space $\mathbb{Z}\times \mathbb{R}$, such functio…