Reduction and evaluation of elliptic integrals
HTML articles powered by AMS MathViewer
- by W. J. Nellis and B. C. Carlson PDF
- Math. Comp. 20 (1966), 223-231 Request permission
References
- Paul F. Byrd and Morris D. Friedman, Handbook of elliptic integrals for engineers and physicists, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete. Band LXVII, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1954. MR 0060642
- B. C. Carlson, Lauricella’s hypergeometric function $F_{D}$, J. Math. Anal. Appl. 7 (1963), 452–470. MR 157017, DOI 10.1016/0022-247X(63)90067-2
- B. C. Carlson, Normal elliptic integrals of the first and second kinds, Duke Math. J. 31 (1964), 405–419. MR 164067
- B. C. Carlson, On computing elliptic integrals and functions, J. Math. and Phys. 44 (1965), 36–51. MR 175285 W. Gröbner & N. Hofreiter, Integraltafel, 2nd ed., Springer, Vienna, 1958. L. M. Milne-Thomson, "Elliptic integrals," M. Abramowitz & I. Stegun (Eds.), Handbook of Mathematical Functions, National Bureau of Standards, Applied Mathematics Series, Vol. 55, U. S. Government Printing Office, Washington, D. C., 1964. W. J. Nellis, Tables of elliptic integrals, M. S. thesis, Iowa State University, Ames, Iowa, 1965.
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Math. Comp. 20 (1966), 223-231
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1966-0215497-8
- MathSciNet review: 0215497