Operator factorization technique of formula derivation in the theory of simple and multiple hypergeometric functions of one and several variables

It is shown that computation technique of the operator factorization method provides a simple and universal foundation for a new theory of hypergeometric series in any number of variables. Examples showing how the method works in practice are given. We also discuss the prospects of the method including the necessary modernization of Santra 2 system. We also give a preliminary analysis of the potentialities of using the superstructure Santra 3 over the Refal language as a basis for computer implementation of a globally universal program capable to perform the complete set of operations inherent in the factorization method.