J Austral Math Soc Ser B 37 pp392--405, 1996.

On an extension of generalized incomplete gamma functions with applications

M. Aslam Chaudhry and S. M. Zubair

(Received 19 July 1993; revised 22 February 1994)

Abstract

In this paper we have introduced extensions g_n(a, x; b) and G_n(a, x; b) of the generalized Gamma functions g(a, x; b) and G(a, x; b) considered recently by Chaudhry and Zubair. These extensions are found useful in the representations of the Laplace and K-transforms of a class of functions. We have also defined a generalization of the inverse Gaussian distribution. The cumulative and the reliability functions of the generalized inverse Gaussian distribution are expressed in terms of these functions. Some useful properties of the functions are also discussed.

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Authors

M. Aslam Chaudhry: Department of Mathematical Sciences
S. M. Zubair: Dept. of Mech. Eng., King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.

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Last Modified: Mon Dec 10 13:31:51 2001