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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
Abstract
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.
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- Research Article
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- Copyright © Australian Mathematical Society 1994
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