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2015 A type of multiple integral with log-gamma function
Duokui Yan, Rongchang Liu, Geng-zhe Chang
Involve 8(4): 593-614 (2015). DOI: 10.2140/involve.2015.8.593

Abstract

In this paper, we give a general formula for the multiple integral

I =010101f(x 1 + x2 + + xn)dx1dx2dxn.

As an application, the integral I with f(x) = logΓ(x) is evaluated for all n . The subsidiary computational challenges are interesting in their own right.

Citation

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Duokui Yan. Rongchang Liu. Geng-zhe Chang. "A type of multiple integral with log-gamma function." Involve 8 (4) 593 - 614, 2015. https://doi.org/10.2140/involve.2015.8.593

Information

Received: 21 April 2014; Revised: 27 July 2014; Accepted: 28 July 2014; Published: 2015
First available in Project Euclid: 22 November 2017

zbMATH: 1316.05011
MathSciNet: MR3366012
Digital Object Identifier: 10.2140/involve.2015.8.593

Subjects:
Primary: 05A19, ‎54C30

Rights: Copyright © 2015 Mathematical Sciences Publishers

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