Image of first quadrant under $f(z)=\frac{z-i}{z+i}$
101671
Describe the image of the set $\{z=x+iy:x>0,y>0\}$ under the mapping $w=\frac{z-i}{z+i}$
135772
how to show image of a non constant entire function is dense in $\mathbb{C}$?
89205
Image under an entire function.
140225
Linear transformation maps the first quadrant to a closed set
26665
When does the kernel of a function equal the image?
29511
How to prove $f(z) = \sum_{n=-\infty}^{\infty}e^{2\pi inz}e^{-\pi n^2}$ has a unique zero inside a unit square in the 1st quadrant.
127169
Show that the zeros of $\sum_{k=1}^n kz^{k-1}$ are inside the unit disc
140851
Precalculus unit circle with imaginary axis.
102553
How to show that $f(z) = f(i)$
16820
Evaluate $\int_{\gamma} \frac{ |dz| }{z} $ where $\gamma $ is the unit circle
57670
Show that $|z_1 + z_2|^2 < (1+C)|z_1|^2 + \left(1 + \frac{1}{C}\right) |z_2|^2$
33300
Showing order of $Z (G) =1$ or $pq$
9535
Why $f(z)=\frac{az+b}{cz+d}$, $a,b,c,d \in \mathbb C$, is a linear transformation?
58924
Possible values of $\int \frac{dz}{\sqrt{1-z^2}}$ over a closed curve in a region?
143100
Identify the plane defined by $|z-2i| = 2|z+3|$
74527
Expressing the area of the image of a holomorphic function by the coefficients of its expansion
116014
Write $\frac {1}{1+z^2}$ as a power series centered at $z_0=1$