The Laplace transform of the psi function

Author:
Atul Dixit

Journal:
Proc. Amer. Math. Soc. **138** (2010), 593-603

MSC (2000):
Primary 33B15

DOI:
https://doi.org/10.1090/S0002-9939-09-10157-0

Published electronically:
September 25, 2009

MathSciNet review:
2557176

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: An expression for the Laplace transform of the psi function

is derived using two different methods. It is then applied to evaluate the definite integral

for and to resolve a conjecture posed by Olivier Oloa.

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Additional Information

**Atul Dixit**

Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801

Email:
aadixit2@illinois.edu

DOI:
https://doi.org/10.1090/S0002-9939-09-10157-0

Keywords:
Laplace transform,
gamma function,
psi function.

Received by editor(s):
October 28, 2008

Published electronically:
September 25, 2009

Communicated by:
Peter A. Clarkson

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.