Integral representations of generalized Lauricella hypergeometric functions
A generalized Lauricella function of several variables was introduced by \textit{H. M. Srivastava} and \textit{M. C. Daoust} [Indagationes Math. 31, 449-457 (1969; Zbl 0185.29803)]. New integral representations for this function and for the Lauricella functions \(F_A^{(n)}, F_C^{(n)}\), \(F_D^{(n)}\) are obtained, with the help of a result on Mellin transforms, under suitable restrictions on the parameters, and integral representations for Appell functions \(F_1\), \(F_2\) and \(F_4\) are deduced from the last three.
scientific article; zbMATH DE number 147571