Conformal mapping vertical strip $\{-1 < Re(z) < 1\}$ onto open unit disk $D$ in $\mathbb{C}$.
41207
Conformal Map from Vertical Strip to Unit Disc
111838
Prove that a standard torus is diffeomorphic to $ \mathbb S^1\times \mathbb S^1$
93694
Boundary behaviour of holomorphic function on unit disk
47992
Is there a function $f\colon\mathbb{R}\to\mathbb{R}$ such that every non-empty open interval is mapped onto $\mathbb{R}$?
127169
Show that the zeros of $\sum_{k=1}^n kz^{k-1}$ are inside the unit disc
63701
An example of a regular function over an open set
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
116507
Very quick question: function extends to 1/z on the boundary of unit disc
2198
Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
155244
Holomorphic self map on the open unit disc
68255
Theorems in complex analysis.
82230
Proof of equivalence of conformal and complex structures on a Riemann surface.
5802
Proving the universal mapping property for polynomial rings
27746
Autohomeomorphism of the unit disk which is constant on the boundary, and which takes 0 to a prescribed point
154303
Degree $1$ map from torus to sphere
91736
Explicit homeomorphism between open and closed rational intervals?
44685
Inner product on $C(\mathbb R)$