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On some infinite integrals involving logarithmic exponential and powers

Published online by Cambridge University Press:  14 November 2011

M. Aslam Chaudhry
Affiliation:
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Munir Ahmad
Affiliation:
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

Synopsis

In this paper we define an integral function Iμ(α; a, b) for non-negative integral values of μ by

It is proved that the function Iμ(α; a, b) satisfies a functional recurrence-relation which is then exploited to evaluate the infinite integral

Some special cases of the result are also discussed.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1992

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