Expansions involving hypergeometric functions of two variables

In ?2 of this paper a systematic attempt has been made to extend the expansions concerning Appell functions to the Kampe de F6riet's double hypergeometric functions by using the two symbolic operators of Burchnall and Chaundy. In ?4 using the method of iteration of series some of the expansions due to Chaundy [5], [6], Niblett [10], Wimp and Luke [8] have been extended to the Kamp6 de Feriet's function. The paper is concluded by showing how the induction by using the Laplace transform and its inverse can be employed to extend these results to G-functions of two variables defined recently by Agarwal [1]*. It may be pointed out that these expansions are very general in nature and incorporate a very large number of expansions for the functions of two variables.

Перевод пока недоступен