Integrals of powers of loggamma
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- by Tewodros Amdeberhan, Mark W. Coffey, Olivier Espinosa, Christoph Koutschan, Dante V. Manna and Victor H. Moll PDF
- Proc. Amer. Math. Soc. 139 (2011), 535-545 Request permission
Abstract:
Properties of the integral of powers of $\log \Gamma (x)$ from $0$ to $1$ are considered. Analytic evaluations for the first two powers are presented. Empirical evidence for the cubic case is discussed.References
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Additional Information
- Tewodros Amdeberhan
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- MR Author ID: 260444
- Email: tamdeberhan@math.tulane.edu
- Mark W. Coffey
- Affiliation: Department of Physics, Colorado School of Mines, Golden, Colorado 80401
- Email: mcoffey@mines.edu
- Olivier Espinosa
- Affiliation: Departmento de Fisica, Universidad Santa Maria, Valparaiso, Chile
- Email: olivier.espinosa@usm.cl
- Christoph Koutschan
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- Email: ckoutsch@tulane.edu
- Dante V. Manna
- Affiliation: Department of Mathematics and Computer Science, Virginia Wesleyan College, Norfolk, Virginia 23502
- Email: dmanna@vwc.edu
- Victor H. Moll
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- Email: vhm@math.tulane.edu
- Received by editor(s): February 23, 2010
- Received by editor(s) in revised form: March 8, 2010
- Published electronically: August 18, 2010
- Communicated by: Ken Ono
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 535-545
- MSC (2010): Primary 33B15
- DOI: https://doi.org/10.1090/S0002-9939-2010-10589-0
- MathSciNet review: 2736336