Dynamics of the arithmetic-geometric mean

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Generalizing the Arithmetic Geometric Mean

The paper discusses the asymptotic behavior of generalizations of the Gauss’s arithmetic-geometric mean, associated with the names Meissel (1875) and Borchardt (1876). The "hapless computer experiment" in the title refers to the fact that the author at an earlier stage thought that one had genuine asymptotic formulae but it is now shown that in general "fluctuations" are present. However, no ve...

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ژورنال

عنوان ژورنال: Topology

سال: 1991

ISSN: 0040-9383

DOI: 10.1016/0040-9383(91)90004-n