Vu Kim Tuan; Buschman, Robert G. Integral representations of generalized Lauricella hypergeometric functions. (English) Zbl 0876.33010 Int. J. Math. Math. Sci. 15, No. 4, 653-657 (1992). A generalized Lauricella function of several variables was introduced by H. M. Srivastava and 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. Reviewer: K.M.Saksena (Kanpur) MSC: 33C65 Appell, Horn and Lauricella functions 44A30 Multiple integral transforms Keywords:Lauricella functions; Appell functions Citations:Zbl 0185.29803 PDFBibTeX XMLCite \textit{Vu Kim Tuan} and \textit{R. G. Buschman}, Int. J. Math. Math. Sci. 15, No. 4, 653--657 (1992; Zbl 0876.33010) Full Text: DOI EuDML Link