A Study of I-Function of Several Complex Variables
Prathima Jayarama, Vasudevan Nambisan Theke Madam, Shantha Kumari Kurumujji · International Journal of Engineering Mathematics · 2014
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.