If $(f(z))^2$ and $(f(z))^3$ are entire functions ; then is $f$ entire?
46514
Proving that if $f: \mathbb{C} \to \mathbb{C} $ is a continuous function with $f^2, f^3$ analytic, then $f$ is also analytic
158561
Let $f (z) $ be an entire function such that $|f (z)|≤K|z|$, $∀z∈\mathbb{C}$, for some $K>0$. If $f (1) =i$, then$f (i) $ is
10253
Proving that all entire & injective functions take the form $f = ax + b$?
146506
If a complex function $f$ is Entire, and there exist $k,R > 0$, $n \in N$ such that $|f(z)| > k|z|^n$ for all $|z| > R$, then f is a polynomial.
149634
$ 2|f^{'}(0)| = \sup_{z, w \in D} |f(z)-f(w)|$
58178
Property of Entire Functions
158647
If $|f(z)|\le |f(z^2)|$ then prove that $f$ is constant
147270
Entire function. Prove that $f(\bar{z})=\overline{f(z)}, \forall z\in C$
118096
If $f^2$ and $f^3$ are smooth, does it follow that $f$ is smooth?
132488
Find all entire functions $f(z)$ such that $|f(z)|=1$ for $|z|=1$
86105
Can $\{(f(t),g(t)) \mid t\in [a,b]\}$ cover the entire square $[0,1] \times [0,1]$ ?
117848
Find all entire functions
82836
If $f$ is an entire function with $|f(z)|\le 100\log|z|$ and $f(i)=2i$, what is $f(1)$?
70361
if a complex function $f$ is real-differentiable, then $f$ or $\overline{f}$ are complex-differentiable
2527
Entire function bounded by a polynomial is a polynomial
1071
Determine all functions $f:\mathbb{N}\rightarrow\mathbb{N}$ such that $xf(y)+yf(x)=(x+y)f(x^2+y^2)$ for all $x,y\in\mathbb{N}$ (contest question)
31736
Removable singularities and an entire function