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Original Articles

The degenerating behaviour of Jacobi's theta functions

Pages 226-228 | Received 04 Jul 2014, Accepted 02 Nov 2014, Published online: 26 Nov 2014

References

  • Byrd PF, Friedman MD. Handbook of elliptic integrals for engineers and scientists. Berlin: Springer; 1971.
  • Lawden DF. Elliptic functions and applications. Berlin: Springer; 1989.
  • Carlson BC, Todd J. The degenerating behavior of elliptic functions. SIAM J Numer Anal. 1983;20:1120–1129. doi: 10.1137/0720081
  • Whittaker ET, Watson GN. A course of modern analysis. Cambridge: Cambridge University Press; 1962.
  • Olver FWJ, Lozier DW, Boisvert RF, Clark CW (eds.), NIST Handbook of mathematical functions. Washington, DC: U.S. Department of Commerce National Institute of Standards and Technology; 2010.
  • Schiefermayr K. Some new properties of Jacobi's theta functions. J Comput Appl Math. 2005;178:419–424. doi: 10.1016/j.cam.2004.09.052

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