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Computing elliptic integrals by duplication. (English) Zbl 0438.65029

MSC:
65D20 Computation of special functions and constants, construction of tables
33E05 Elliptic functions and integrals
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
33B10 Exponential and trigonometric functions
65D30 Numerical integration
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References:
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[10] Gautschi, W.: Computational methods in special functions ? a survey, (R. Askey, ed.) Theory and Application of Special Functions. New York: Academic Press 1975 · Zbl 0325.33001
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[13] Milne-Thomson, L.M.: The Calculus of Finite Differences. London: Macmillan 1933 · JFM 59.1111.01
[14] Todd, J.: The lemniscate constants. Commun. ACM18, 14-19, 462 (1969) · Zbl 0298.33001 · doi:10.1145/360569.360580
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