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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Calculation of the moments and the moment generating function for the reciprocal gamma distribution
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by Arne Fransén and Staffan Wrigge PDF
Math. Comp. 42 (1984), 601-616 Request permission


In this paper we consider the distribution $G(x) = {F^{ - 1}}\smallint _0^x{(\Gamma (t))^{ - 1}}\;dt$. The aim of the investigation is twofold: first,to find numerical values of characteristics such as moments, variance, skewness, kurtosis,etc.; second, to study analytically and numerically the moment generating function $\varphi (t) = \smallint _0^\infty {e^{ - tx}}/\Gamma (x)\;dx$. Furthermore, we also make a generalization of the reciprocal gamma distribution, and study some of its properties.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 42 (1984), 601-616
  • MSC: Primary 65D20; Secondary 60E10, 62E15, 65U05
  • DOI:
  • MathSciNet review: 736456