﻿功能:第三类Carlson对称椭圆积分

格式:EllipticRJ(x,y,z,p)

说明:
$$
\begin{aligned}
\mathbf{EllipticRJ}(x, y, z, r) &= \dfrac{3}{2}\int_0^\infty \dfrac{1}{(t + r)\sqrt{(t + x)(t + y)(t + z)}}dt
\\
\\
\mathbf{s}\cdot\mathbf{t}\cdot&:x\geq 0,y\geq 0,z\geq 0
\end{aligned}
$$

参考:《NUMERICAL COMPUTATION OF REAL OR COMPLEX ELLIPTIC INTEGRALS》_B.C.CarlsonAmes_Laboratory and Department of Mathematics, Iowa State University,Ames, Iowa 50011-3020, USA
参考:{Carlson Integral<https://mathworld.wolfram.com/CarlsonEllipticIntegrals.html>}

例子:

EllipticRJ(i,i,i,i)//回车后得到如下的解
ans = -0.707106781186547 - 0.707106781186547i