Show that $g(re^{i\theta}) = \sqrt[n]{r}e^{i\frac{\theta}{n}}$ is holomorphic
43136
Branch of the n-th root of a holomorphic function is holomorphic
43645
Show that $G/H\cong S_3$
83014
Holomorphic function interpolating $e^{-n}$
39057
Check the differentiablity of $\theta :\mathbb R^2 \setminus\{(0,0)\}\to \mathbb R$
50115
Show that the holomorphic function $u + iv$ must be constant if $u = h \circ v$. Problem from Remmert.
139667
Show that $f(z) = cg(z)$ is valid for two analytic functions $f$ and $g$ given a certain relationship between them
135912
why $f$ is holomorphic if $f(z) = \frac{1}{2\pi i} \int_\gamma \frac{f(\zeta)\, d \zeta}{\zeta - z}$?
106971
Let $f:U \to V$ be a bijective holomorphic function. Show that inverse of $f$ is also holomorphic.
138297
Let $G = GL_2\mathbb (R)$. Show that $T$ is a subgroup of $G$
146028
$GL(n, \mathbb{C})$ is isomorphic to a subgroup of $GL(2n, \mathbb{R})$
97917
Step in the Stein's proof of Plancherel Theorem
4698
Gamma Function Holomorphic
68409
Consider $f(x,y)=\sup_{θ,φ}\{||e^{i θ }x+ e^{i φ }y||^2: θ,φ∈R\}$ in which $x,y\in\mathbb C^n$
8192
Simple proof of showing the Harmonic number $H_n = \Theta (\log n)$
102284
$GL(n,\mathbb R)/SL(n,\mathbb R)$ is isomophic to $\mathbb R^\times$
133099
Decomposition of holomorphic function as a sum of entire functions
95632
Where is this function holomorphic?