In this paper, by the extension of beta functions containing three extra parameters, we generalize Appell's and Lauricella's hypergeometric functions. Some integral representations, transformation formulae, differentiation formulae and recurrence relations are obtained for these new generalizations.
"Some generating relations for extended Appell's and Lauricella's hypergeometric functions." Rocky Mountain J. Math. 44 (6) 1987 - 2007, 2014. https://doi.org/10.1216/RMJ-2014-44-6-1987