On a Generalizations of Lauricella’s Functions of Several Variables

Abstract

The present paper introduces 10 Appell’s type generalized functions Ni, i = 1, 2, ...... 10 by considering the product of n ? 3F2 functions. The paper contains Fractional derivative representations, Integral representations and symbolic forms similar to those obtained by J. L. Burchnall and T. W.Chaundy for the four Appell’s functions, have been obtained for these newly defined functions N1, N2.......N10. The results obtained are believed to be new.