- #1

ComFlu945

- 9

- 0

w=u(x+iy)*(x^2 - y^2 +k^2 + i(2xy))^-.5

We let N=x^2-y^2+k^2

M=2xy

R^2=(N^2+M^2)^2

theta=tan^-1(M/N)

using this, now

w=u(x+iy)*(cos(theta/2)-isin(theta/2))*(x^2 - y^2 +k^2 )^2 + (2xy)^2 )^-.25

I don't get that part. Btw, it simplifies to

w=u(x+iy)*(cos(theta/2)-isin(theta/2)*(R^2)^-.25