mars.tensor.special.ellipkinc#
- mars.tensor.special.ellipkinc(phi, m, **kwargs)[源代码]#
Incomplete elliptic integral of the first kind
This function is defined as
\[K(\phi, m) = \int_0^{\phi} [1 - m \sin(t)^2]^{-1/2} dt\]This function is also called F(phi, m).
- 参数
phi (array_like) – amplitude of the elliptic integral
m (array_like) – parameter of the elliptic integral
- 返回
K – Value of the elliptic integral
- 返回类型
ndarray
提示
Wrapper for the Cephes 1 routine ellik. The computation is carried out using the arithmetic-geometric mean algorithm.
The parameterization in terms of \(m\) follows that of section 17.2 in 2. Other parameterizations in terms of the complementary parameter \(1 - m\), modular angle \(\sin^2(\alpha) = m\), or modulus \(k^2 = m\) are also used, so be careful that you choose the correct parameter.
参见
引用
- 1
Cephes Mathematical Functions Library, http://www.netlib.org/cephes/
- 2
Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.