| 释义 |
Elliptic Integral Singular Value k3The third Singular Value , corresponding to
 | (1) |
is given by
 | (2) |
As shown by Legendre, 
 | (3) |
(Whittaker and Watson 1990, p. 525). In addition,
 | (4) |
and
 | (5) |
Summarizing,
(Whittaker and Watson 1990).See also Theta Function References
Ramanujan, S. ``Modular Equations and Approximations to .'' Quart. J. Pure. Appl. Math. 45, 350-372, 1913-1914.Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, pp. 525-527 and 535, 1990.
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