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Evaluation at half periods of Weierstrass' elliptic functions with double periods $ 1$ and $ e\sp{i\alpha }$


Author: Chih Bing Ling
Journal: Math. Comp. 19 (1965), 658-661
MSC: Primary 65.05
DOI: https://doi.org/10.1090/S0025-5718-1965-0192633-2
MathSciNet review: 0192633
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  • [1] C. B. Ling, "Evaluation at half periods of Weierstrass' elliptic function with rectangular primitive period-parallelogram," Math. Comp., v. 14, 1960, pp. 67-70. MR 22 #1061. MR 0110179 (22:1061)
  • [2] C. B. Ling & C. P. Tsai, "Evaluation at half periods of Weierstrass' elliptic function with rhombic primitive period-parallelogram," Math. Comp., v. 18, 1964, pp. 433-440. (Erratum: A negative sign should precede $ {K_3}$ in the first of Eqs. (7) on p. 434.) MR 0165661 (29:2941)
  • [3] C. B. Ling, "Tables of values of $ {\sigma _{2s}}$ relating to Weierstrass' elliptic function," Math. Comp., v. 19, 1965, pp. 123-127. MR 0171369 (30:1600)
  • [4] G. W. & R. M. Spenceley, Smithsonian Elliptic Function Tables, Smithsonian Miscellaneous Collections, Vol. 109, Smithsonian Institution, Washington, D. C., 1947, p. 366. MR 9, 380. MR 0023598 (9:380d)
  • [5] Herrmann, "Bestimmung der trigonometrischen Functionen aus den Winkeln und der Winkel aus den Functionen, bis zu einer beliebigen Grenze der Genauigkeit," Kaiserliche Akademie der Wissenschaften, Wien, Math.-Naturwiss. Classe, Sitzungsberichte, v. 1, 1848, part IV, pp. 178-179.

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DOI: https://doi.org/10.1090/S0025-5718-1965-0192633-2
Article copyright: © Copyright 1965 American Mathematical Society

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