Table of Contents
International Journal of Engineering Mathematics
Volume 2014, Article ID 931395, 11 pages
Research Article

A Study of I-Function of Several Complex Variables

1Department of Mathematics, Manipal Institute of Technology, Manipal, Karnataka 576104, India
2SCSVMV, Sri Jayendra Saraswathi Street, Enathur, Kanchipuram, Tamil Nadu 631561, India
3Department of Mathematics, College of Engineering, Trikaripur, Kerala 670307, India
4Department of Mathematics, P.A. College of Engineering, Mangalore, Karnataka 574153, India

Received 27 June 2013; Revised 5 September 2013; Accepted 23 September 2013; Published 27 January 2014

Academic Editor: Alberto Cardona

Copyright © 2014 Prathima Jayarama et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 ‘‘’’ variables. For , we get the I-function introduced and studied by Arjun Rathie (1997) and, for , 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 ‘‘’’ variables available in the literature.