Evaluation at half periods of Weierstrass’ elliptic function with rhombic primitive period-parallelogram
HTML articles powered by AMS MathViewer
- by Chih Bing Ling and Chen-Peng Tsai PDF
- Math. Comp. 18 (1964), 433-440 Request permission
References
- Chih Bing Ling, Evaluation at half periods of Weierstrass’ elliptic function with rectangular primitive period parallelogram, Math. Comput. 14 (1960), 67–70. MR 0110179, DOI 10.1090/S0025-5718-1960-0110179-X E. T. Copson, Theory of Functions of a Complex Variable, Oxford University Press, New York, 1935, p. 359-362. A. Erdelyi, et al., Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York, 1953, p. 328-361. In the formulas (8) and (9) on p. 355, the summation should each begin with n = 1 instead of n = 0. 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. J. Pure 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 C. E. Van Orstrand, “Tables of the exponential function and of the circular sine and cosine to radian argument,” Memoirs of U. S. National Academy of Sciences, Vol. 14, 1925, Fifth Memoir, p. 3-79.
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Math. Comp. 18 (1964), 433-440
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1964-0165661-X
- MathSciNet review: 0165661