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On some infinite integrals involving logarithmic exponential and powers
Published online by Cambridge University Press: 14 November 2011
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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