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On a family of logarithmic and exponential integrals occurring in probability and reliability theory

Published online by Cambridge University Press:  17 February 2009

M. Aslam Chaudhry
M. Aslam Chaudhry
Affiliation:
Dept of Math. Sciences, King Fahd Univ. of Petroleum and Minerals, Dhahran, Saudi Arabia.
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Abstract

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We define an integral function Iμ(α, x; a, b) for non-negative integral values of μ by

It is proved that Iμ(α, x; a, b) satisfies a functional recurrence relation which is exploited to find a closed form evaluation of some incomplete integrals. New integral representations of the exponential integral and complementary error functions are found as special cases.

Type
Research Article
Information
The ANZIAM Journal , Volume 35 , Issue 4 , April 1994 , pp. 469 - 478
Copyright
Copyright © Australian Mathematical Society 1994

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