Entire function f which satisfy $|f(z)| \leq |\exp(z)|$
58178
Property of Entire Functions
158647
If $|f(z)|\le |f(z^2)|$ then prove that $f$ is constant
68071
If $f$ is a nonconstant entire function such that $|f(z)|\geq M|z|^n$ for $|z|\geq R$, then $f$ is a polynomial of degree atleast $n$.
56047
Radius of convergence of entire function
79011
If $(F:E)<\infty$, is it always true that $\operatorname{Aut}(F/E)\leq(F:E)?$
17343
Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant
99894
Does there exists an entire function $f$ such that $f(0)=1$ and $|f(z)|\leq \frac{1}{|z|} $ for all $|z|\geq 5$?
10431
Prove that $C\exp(x)$ is the only set of functions for which $f(x) = f'(x)$
65548
Prove if f(z) is entire function s.t $|f(z)|\leq M|z|$ then $f(z)$ Is polynomial of degree $1$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
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
147270
Entire function. Prove that $f(\bar{z})=\overline{f(z)}, \forall z\in C$
133837
Entire function dominated by another entire function is a constant multiple
114245
What might I use to show that an entire function with positive real parts is constant?
86473
Find all entire functions such that $|f(z)|\leq |\sin(z)|$ for all $z\in\mathbb C$.
89050
If $|f(z)|\leq |f(z^2)|$ on the unit disk, show that $f$ is a constant function.
94597
$f, g$ entire functions with $f^2 + g^2 \equiv 1 \implies \exists h $ entire with $f(z) = \cos(h(z))$ and $g(z) = \sin(h(z))$