EllipticF
Usage
• EllipticF[ , m] 用来给出第一类椭圆积分  .
Notes
• 对于  ,  . • 与 EllipticF 相关的完全椭圆积分是 EllipticK. • EllipticF是 JacobiAmplitude的逆.若  ,则  . • 沿  到无穷的射线, EllipticF[ , m]有一条不连续分支线.
Further Examples
This is the definition of the elliptic integral of the first 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 first kind, which is traditionally denoted by a different letter, .
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These are the partial derivatives.
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