Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Mathematical Methods of Physics Complex Analysis
Identify which of the following functions can not be a complex analytic function of z.
1
\(f(z) = (x^2 - y^2 + 2ixy)^7 (x + iy)^{17} \)
2
\(f(z) = (x^2 - y^2 + 2ixy)^{12} (x - iy)^4\)
3
\(f(z)=(x+iy-2)^5\)
4
\(f(z)=(2x-5iy-2)^{75}\)