“Elliptic Integral Singular Value k3”的概念、定义、习题解题方法及翻译-数学辞典

单词

Elliptic Integral Singular Value k3

释义

Elliptic Integral Singular Value k3

The 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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