Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



A note on the moment generating function for the reciprocal gamma distribution

Author: Staffan Wrigge
Journal: Math. Comp. 42 (1984), 617-621
MSC: Primary 65D20; Secondary 60E10, 62E15, 65U05
MathSciNet review: 736457
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this note we consider the function $\varphi (t) = \smallint _0^\infty {e^{ - tx}}/\Gamma (x) dx$ and use the Euler-Maclaurin expansion with the step-length $h = 1/4$ to obtain some useful (from a numerical point of view) formulae. Numerical values of $\varphi (t)$ correct to 11D are given for $t = 0.0(0.1)5.0$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65D20, 60E10, 62E15, 65U05

Retrieve articles in all journals with MSC: 65D20, 60E10, 62E15, 65U05

Additional Information

Keywords: Reciprocal gamma distribution, generating function, Euler-Maclaurin formula
Article copyright: © Copyright 1984 American Mathematical Society