Formulas for Computing Incomplete Elliptic Integrals of the First and Second Kinds

@article{LeeWhiting1963FormulasFC,
  title={Formulas for Computing Incomplete Elliptic Integrals of the First and Second Kinds},
  author={G. E. Lee-Whiting},
  journal={J. ACM},
  year={1963},
  volume={10},
  pages={126-130}
}
The complementary modulus k' is defined by h '~ = I lc 2. For values of k a n d ¢ such tha t k 2 " 2 • sm ,b is not greater than !2, a straightforward application of the binomial expansion theorem supplies a convenient and suitable method .+'or the machine computation of the elliptic integrals. The required formulas are listed by Byrd and Friedman [1] and, in a form prepared for computation, by DiDonato and Hershey [2]. I t will be convenient to refer to this procedure as method A. The purpose… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-2 OF 2 REFERENCES

New formulas for computing ineompIe~e eI] ipde integrals

  • A. t. DfDoxATo, x HEnsY, A.V
  • J, A C M
  • 1959
Highly Influential
4 Excerpts

Tables of lhe Complete or?,d Incomplete Elliptic lnlegrals

  • K. PArSoN
  • A.tti Accad. Naz. Lincei, Me're, CI. Set,
  • 1934
Highly Influential
3 Excerpts

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