TRIPLE GAUSSIAN HYPERGEOMETRIC-FUNCTIONS .1.

Eight solution types of the second order associated with the partial differential system of the triple hypergeometric function F-G are deduced. Hence, the systems of partial differential equations of each of these types are equivalent. In addition, the functions F-T and F-D((3)) may be represented as special cases of certain of the above types and in themselves yield a further 4 and 2 distinct types respectively.