EllipticE
 Usage
• EllipticE[m] 给出完全椭圆积分  . • EllipticE[ , m] 给出第二类椭圆积分  .
Notes
• 当  时,  . •  . • EllipticE[m] 在复平面 m 上从1到  有一条不连续分支线. • 参见 Mathematica 全书 : 节 3.2.11.
 Further Examples
This is the definition of the elliptic integral of the second kind. Classically, the integral is defined for  on the interval  , but the function also makes sense for more general (complex-valued)  .
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Setting  gives the complete elliptic integral of the second kind, a particular case of the hypergeometric function.
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This is the indefinite integral of the complete integral  .
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This is a series expansion around  .
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This is the derivative of the incomplete function with respect to  .
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到
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