If f(z) is analytic at a point z0, then the mapping w=f(z) is conformal at z0
The mapping w = z2 + 1 is not conformal at z = -i / 2.
The linear fractional transformation T(z) = (z-i) / (z+1) maps the points
A linear fractional transformation is conformal at every point in its
The conformal mapping preserves both the magnitude and the ___ of an angle.
If a complex function f is differentiable at point z, then f is
The function f(z) = z2 + z-1 is
The function f(z) = cos y - i sin y is
The function f(z) is analytic in a domain D and f(z) = c + i v(x,y), where c is a real constant. Then f is a _____ in D.
The function f(z) = (2-x)3 +i (y-1)3 is differentiable at z =
If the Cauchy-Riemann equations are true, then the derivative of f(z) is _____.
What is the value of the integer n if xn-yn is harmonic?
Find the harmonic conjugate of ex cos y + ey cos x + xy.