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On an extension of generalized incomplete Gamma functions with applications

Published online by Cambridge University Press:  17 February 2009

M. Aslam Chaudhry  and
S. M. Zubair
M. Aslam Chaudhry
Affiliation:
Department of mathematical science
S. M. Zubair
Affiliation:
Dept.of Mech. Eng., King Fahd University of petroleum and Minerals, Dhahran, Saudi Arabia.
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Abstract

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In this paper we have introduced extensions νυ(α, x; b) and Γν(α, x; b) of the generalized Gamma functions γ(α x; b) and Γ(α, 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.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 3 , January 1996 , pp. 392 - 405
Copyright
Copyright © Australian Mathematical Society 1996

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