Srivastava, H.M.Yasmeen, M. A.Pathan2009-09-042009-09-0419862009-09-04http://hdl.handle.net/1828/1729The authors prove a general theorem on the reducibility of a certain multiple series and apply it to derive numerous reduction formulas for hypergeometric functions of several variables. Some applications of this theorem, involving Jacobi polynomials, are also presented.entechnical reports (mathematics and statistics)Some reduction formulas for the multiple hypergeometric seriesTechnical ReportDepartment of MathematicsDepartment of Mathematics and Statistics