Conditions for the regular function: Complex variables
Question: Consider a complex function, \(f(z)=u(x,y)+iv(x,y)\). When \(u(x,y)=\frac{x}{x^2+y^2-2y+1}\), find the \(f(z)\) which can be a regular function. Answer: According to […]
Tag: complex variables
What should we do when complex variables involve trigonometric functions?
Question: Define \(z=x+iy\). Prove the following equation \[ \frac{\sin 2x + i\sinh 2y}{\cos 2x + \cosh 2y} = \tan z \] Answer: […]