show that an entire function with the nth derivative zero is polynomial of degree at most n-1
65619
Does $f^{(n)} = 0$ imply that complex $f$ is a polynomial?
150626
General formula or a pattern for the $n$th derivatives of $e^{f(x)}$?
148813
Prove: $f: \mathbb{R} \rightarrow \mathbb{R}$ st for every $x \in \mathbb{R}$ there exists $n$ st $f^{(n)}(x) = 0$, f is a polynomial.
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
76955
Proof the Legendre polynomial $P_n$ has $n$ distinct real zeros
96116
Show $P(z) $ is a polynomial of degree $n-1$ interpolating an Analytic function.
111569
Property of a polynomial with no positive real roots
128795
$n$th derivative of $e^x \sin x$
40502
The Degree of Zero Polynomial.
68617
Show that an entire function that is real only on the real axis has at most one zero, without the argument principle
103246
Prove that a polynomial of degree $d$ has at most $d$ roots (without induction)
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
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 $n$.
56827
Functions that are their Own nth Derivatives for Real $n$
57193
Prove that $f$ has derivatives of all orders at $x=0$, and that $f^{(n)}(0)=0$ for $n=1,2,3\ldots$
33099
If $f$ is an entire function where every power series expansion has at least one 0 term, show it is a polynomial
13981
Proof that every polynomial of odd degree has one real root