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Calculation of the gamma function by Stirling's formula


Author: Robert Spira
Journal: Math. Comp. 25 (1971), 317-322
MSC: Primary 65D20
MathSciNet review: 0295539
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Abstract: In this paper, we derive a simple error estimate for the Stirling formula and also give numerical coefficients.


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

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  • [3] R. Spira, Table of the Riemann Zeta Function, UMT files, reviewed in Math. Comp., v. 18, 1964, pp. 519-521.
  • [4] Table of the Gamma Function for Complex Arguments, Nat. Bur. Standards, Appl. Math. Series, vol. 34, 1954.
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  • [6] N. Nielsen, Die Gammafunction. Band I. Handbuch der Theorie der Gammafunktion. Band II. Theorie des Integrallogarithmus und verwandter Transzendenten, Chelsea, New York, 1965. MR 32 #2622.
  • [7] R. Spira, Fortran Multiple Precision. Parts I, II, Mathematics Department, Michigan State University, East Lansing, Michigan, 1970.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1971-0295539-6
Keywords: Asymptotic series, gamma function
Article copyright: © Copyright 1971 American Mathematical Society