Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
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Publication:3816266
DOI10.2307/2323302zbMath0665.26007OpenAlexW1993407479WikidataQ29544184 ScholiaQ29544184MaRDI QIDQ3816266
Bruce C. Berndt, Gert Almkvist
Publication date: 1988
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/8e3c462f5eb920fe178985f159cdfee815b59c52
convergenceinequalityelliptic integralsarithmetic-geometric meanLanden's transformationapproximations of the perimeter of the ellipse
History of mathematics in the 18th century (01A50) Inequalities for sums, series and integrals (26D15) History of mathematics in the 19th century (01A55) Approximation to limiting values (summation of series, etc.) (40A25) Elliptic functions and integrals (33E05) Exponential and trigonometric functions (33B10)
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