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Abstract
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In this paper, we give a general formula for the multiple integral
As an application, the integral
with
is evaluated
for all
.
The subsidiary computational challenges are interesting in their own right.
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Keywords
multiple integral, log-gamma function
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Mathematical Subject Classification 2010
Primary: 05A19, 54C30
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Milestones
Received: 21 April 2014
Revised: 27 July 2014
Accepted: 28 July 2014
Published: 23 June 2015
Communicated by Kenneth S. Berenhaut
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