Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind

DOI10.1093/imanum/12.4.519zbMath0758.65008OpenAlexW2029069623WikidataQ29396348 ScholiaQ29396348MaRDI QIDQ4021703

Jonathan M. Borwein, I. J. Zucker

Publication date: 16 January 1993

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/12.4.519

zbMATH Keywords

quadratic convergencecomplete elliptic integralsgamma functionsarithmetic-geometric mean iteration

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20) Elliptic functions and integrals (33E05)

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