A Study of I-Function of Several Complex Variables

الملخص EN

The aim of this paper is to introduce a natural generalization of the well-known, interesting, and useful Fox H-function into generalized function of several variables, namely, the I-function of ‘‘r’’ variables.

For r=1, we get the I-function introduced and studied by Arjun Rathie (1997) and, for r=2, we get I-function of two variables introduced very recently by ShanthaKumari et al.

(2012).

Convergent conditions, elementary properties, and special cases have also been given.

The results presented in this paper generalize the results of H-function of ‘‘r’’ variables available in the literature.