Evaluation at half periods of Weierstrass’ elliptic function with rectangular primitive period parallelogram
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- by Chih Bing Ling PDF
- Math. Comp. 14 (1960), 67-70 Request permission
References
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E. T. Copson, Theory of Functions of a Complex Variable, Oxford University Press, New York, 1935, p. 359-362.
E. P. Adams & R. L. Hippisley, Smithsonian Mathematical Formulae and Tables of Elliptic Functions, Smithsonian Miscellaneous Collection 74, Smithsonian Institution, Washington, D. C., 1939, p. 129.
J. W. L. Glaisher, “Tables of $1 \pm {2^{ - n}} + {3^{ - n}} \pm {4^{ - n}} +$ etc., and $1 + {3^{ - n}} + {5^{ - n}} + {7^{ - n}} +$ etc., to 32 places of decimals,” Quart. Jn. Pure and Appl. Math., v. 45, 1914, p. 141-158.
- Circular and Hyperbolic Functions. Exponential and Sine and Cosine Integrals. Factorial Function and Allied Functions. Hermitian Probability Functions, British Association for the Advancement of Science. Second Edition, Cambridge, at the University Press; New York, The Macmillan Company, 1946. MR 0014819 A. Erdelyi, et al., Higher Transcendental Functions, v. 2, McGraw-Hill Book Co., New York, 1953, p. 361.
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Math. Comp. 14 (1960), 67-70
- MSC: Primary 65.00
- DOI: https://doi.org/10.1090/S0025-5718-1960-0110179-X
- MathSciNet review: 0110179