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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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High-precision values of the gamma function and of some related coefficients
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by Arne Fransén and Staffan Wrigge PDF
Math. Comp. 34 (1980), 553-566 Request permission

Abstract:

In this paper we determine numerical values to 80D of the coefficients in the Taylor series expansion ${\Gamma ^m}(s + x) = \Sigma _0^\infty {g_k}(m,s){x^k}$ for certain values of m and s and use these values to calculate $\Gamma (p/q)\;(p,q = 1,2, \ldots ,10;\;p < q)$ and ${\min _{x > 0}}\Gamma (x)$ to 80D. Finally, we obtain a high-precision value of the integral $\smallint _0^\infty {(\Gamma (x))^{ - 1}}\;dx$.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 34 (1980), 553-566
  • MSC: Primary 65A05; Secondary 65D20
  • DOI: https://doi.org/10.1090/S0025-5718-1980-0559204-5
  • MathSciNet review: 559204