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Zbl 0758.65008
Borwein, J.M.; Zucker, I.J.
Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind. (English)
[J] IMA J. Numer. Anal. 12, No.4, 519-526 (1992). ISSN 0272-4979; ISSN 1464-3642/e

By expressing gamma functions at rational values in terms of elliptic integrals, reduced complexity interactions for the evaluation of such gamma values are demonstrated.
[S.K.Rangarajan (Karaikudi)]
MSC 2000:
*65D20 Computation of special functions
33E05 Elliptic functions and integrals
33B15 Gamma-functions, etc.

Keywords: gamma functions; complete elliptic integrals; arithmetic-geometric mean iteration; quadratic convergence

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