Prove that a function is a monomial
48619
Let $f$ be a non-constant analytic function on $\mathbb{D}$ satisfying $|f(z^2)| ≤ |f(z)|$ for $|z| < 1.$
63146
Proof of properties of injective and surjective functions.
49296
Prove $|(1+|u|^2)v-(1+|v|^2)u|>|u\bar{v}-\bar{u}v|$
60348
How do I prove $F(a)=F(a^2)?$
13253
Prove $f(S \cup T) = f(S) \cup f(T)$
57368
Prove that a positive polynomial function can be written as the squares of two polynomial functions
138026
To show that $n!f(x) \in \mathbb{Z}[x]$
27775
Proving a function is not a contraction
152013
elementary ring proof with composition of functions and addition of functions as operations
155575
Proving a polynomial $f(x)$ composite for infinitely many $x$
88271
Prove the exsistence of 3 zero points of a function
26388
proof that function is constant
103340
Show that this entire function is polynomial.
147021
Proving a function is bounded
35953
Prove that a function is not injective
15914
Prove that any polynomial function is continuous
104949
How would I prove that this function is affine if $f(x+h)-f(x)=hf'(x)$?