A type of multiple integral with loggamma function

Duokui Yan, Rongchang Liu, Geng-zhe Chang

In this paper, we study the multiple integral $I={\int }_0^1{\int }_0^1\cdots {\int }_0^{1}f(x_1+x_2+\cdots +x_n)d{x}_{1}d{x}_2\dots d{x}_n$. A general formula of $I…