Power of a function is analytic
111635
Show that if $f(z)$ is a continuous function on a domain $D$ such that $f(z)^N$ is analytic for some integer $N$, then $f(z)$ is analytic on $D$.
113993
Complex power of a complex number
96050
$f$ an analytic function on $\mathbb{C}$ which takes values in $\mathbb{C}\backslash(-\infty,0]$ implies constant
25633
Is the function $f(z)=xy+iy$ analytic?
148512
No analytic function $f$ has modulus $|f(z)|=1/\cosh(\Re z)$
130679
Difference between Analytic and Holomorphic function
138329
Complex Analysis analytic function problem
139667
Show that $f(z) = cg(z)$ is valid for two analytic functions $f$ and $g$ given a certain relationship between them
101900
The analytic function at infinity
73687
Powers of $i$ in Complex Numbers.
147920
Infinite powering by $i$
63446
The existence of analytical branch of the logarithm of a holomorphic function
116092
Non constant analytic function from $\{z\in\mathbb{C}:z\neq 0\}$ to $\{z\in\mathbb{C}:|z|>1\}.$
55347
for two non zero complex polynomial $p(z),q(z)$ we have $p(z)\overline{q(z)}$ is analytic if and only if ?? CSIR - June $2013$
74596
Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?
111760
If $f^2$ is an analytic function then so is $f$
125566
The Identity Theorem for real analytic functions