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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  and
Munir Ahmad
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
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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 122 , Issue 1-2 , 1992 , pp. 11 - 15
Copyright
Copyright © Royal Society of Edinburgh 1992

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