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Mathematics of Computation

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Evaluation at half periods of Weierstrass' elliptic function with rectangular primitive period parallelogram


Author: Chih Bing Ling
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
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References [Enhancements On Off] (What's this?)

  • [1] E. T. Copson, Theory of Functions of a Complex Variable, Oxford University Press, New York, 1935, p. 359-362.
  • [2] 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.
  • [3] 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.
  • [4] Circular and Hyperbolic Functions. Exponential and Sine and Cosine Integrals. Factorial Function and Allied Functions. Hermitian Probability Functions, 2nd ed., Mathematical Tables, Volume 1, Cambridge, at the University Press; New York, The Macmillan Company, 1946. MR 0014819
  • [5] A. Erdelyi, et al., Higher Transcendental Functions, v. 2, McGraw-Hill Book Co., New York, 1953, p. 361.

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DOI: https://doi.org/10.1090/S0025-5718-1960-0110179-X
Article copyright: © Copyright 1960 American Mathematical Society