## 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