Can the real part of an entire function be bounded above by a polynomial?
139614
Polynomial bounded real part of an entire function
139019
Polynomial satisfying $f(x) = f'(x) \cdot f''(x)$
65548
Prove if f(z) is entire function s.t $|f(z)|\leq M|z|$ then $f(z)$ Is polynomial of degree $1$
97652
Can every real polynomial be factored up to quadratic factors?
63255
Proving an entire, complex function with below bounded modulus is constant.
103340
Show that this entire function is polynomial.
56047
Radius of convergence of entire function
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 $n$.
141078
Domain over which a polynomial is strictly positive
155444
Show that entire function $f$ is a polynomial of degree at most $n$
31544
How to prove that this polynomial is larger than another for positive reals?
79359
Show that $f$ is a polynomial if it's the uniform limit of polynomais
35787
An entire function with a bound on its integral is constant
62568
Does there exists an entire function $f: \mathbb C \to \mathbb C$ which is bounded on real line and imaginary line?
148451
Polynomial inequality proof
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
40014
A polynomial that is zero on an open set