Holomorphic structure of the arithmetic-geometric mean of Gauss. II

DOI10.3792/pjaa.70.119zbMath0862.30005OpenAlexW4241269275MaRDI QIDQ1340351

Kimimasa Nishiwada

Publication date: 19 December 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.119

zbMATH Keywords

arithmetic-geometric mean

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Elliptic functions and integrals (33E05) History of special functions (33-03) Series expansions of functions of one complex variable (30B99)

Cites Work

• The arithmetic-geometric mean of Gauss
• A holomorphic structure of the arithmetic-geometric mean of Gauss
• Algorithm of the arithmetic-geometric mean and its complex limits

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