Use of continued fractions in high speed computing
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- Math. Comp. 6 (1952), 127-133 Request permission
Corrigendum: Math. Comp. 19 (1965), 706.
Corrigendum: Math. Comp. 7 (1953), 72.
References
- Oskar Perron, Die Lehre von den Kettenbrüchen, Chelsea Publishing Co., New York, N. Y., 1950 (German). 2d ed. MR 0037384
- H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596 L. M. Milne-Thomson, The Calculus of Finite Differences. London, 1933. N. E. Nörlund, Vorlesungen über Differenzenrechung. Berlin, 1924, p. 438-55. R. E. Lane, “Interpolation by means of continued fractions,” Fraternal Actuarial Assoc., Proc., no. 19, 1944-46. T. Muir, “New general formulae for the transformation of infinite series into continued fractions,” Roy. Soc. Edin., Trans., v. 27, 1872-76, p. 467. J. H. Müller, “On the application of continued fractions to the evaluation of certain integrals, with special reference to the incomplete Beta function,” Biometrika, v. 22, 1920-1, p. 284-297.
- Leo A. Aroian, Continued fractions for the incomplete Beta function, Ann. Math. Statistics 12 (1941), 218–223. MR 5193, DOI 10.1214/aoms/1177731751 J. Burgess, “On the definite integral $\frac {1}{\pi }\int _0^t {{e^{ - {t^2}}}} dt$ with extended tables of values,” Roy. Soc. of Edin., Trans., v. 39, part II, 1898, p. 257-321. W. P. Heising, “An eight-digit general purpose control panel,” IBM Technical Newsletter, no. 3, 1951.
Additional Information
- © Copyright 1952 American Mathematical Society
- Journal: Math. Comp. 6 (1952), 127-133
- MSC: Primary 65.0X
- DOI: https://doi.org/10.1090/S0025-5718-1952-0049650-3
- MathSciNet review: 0049650