Entire function bounded by a polynomial is a polynomial with a less or equal degree- complex function
2527
Entire function bounded by a polynomial is a polynomial
87331
Real polynomial in two variables
36444
Bound of a complex-valued function
65661
Decomposition of a homogeneous polynomial
27251
Holomorphic function with $f\circ f=f$
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
103932
How can I prove that a polynomial with degree $n$ is continuous everywhere in $\mathbb{R}$ using definitions?
91352
If $\Re(f)$ is bounded then f is constant.
138809
Consequences of a fixed point of a bounded, complex analytic function
141078
Domain over which a polynomial is strictly positive
107518
Entire function $f$ such that $|f(z)| ≤ K |z|^3$ for $|z|\ge1$ and $f(z) = f(iz)$ for every $z∈C$
28011
Does there exists an entire function such that for each $|z|>C$ for some constant $C$, $|f(z)|=|z|+1$?
91388
Prove that $f$ is a polynomial if one of the coefficients in its Taylor expansion is 0
76971
Entire functions bounded along $\vert z\vert = R$
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
118085
complex polynomial satisfying inequality
98399
Suppose $f$ and $g$ are entire functions, and $|f(z)| \leq |g(z)|$ for all $z \in \mathbb{C}$, Prove that $f(z)=cg(z)$.