An analytic function having no element of negative x-axis in its range
96050
$f$ an analytic function on $\mathbb{C}$ which takes values in $\mathbb{C}\backslash(-\infty,0]$ implies constant
31308
Does there exist some strictly positive function such that both the derivative and second derivative are strictly negative?
71094
Proof that 1-1 analytic functions have nonzero derivative
51625
Analytic functions close to $\bar{z}$
81381
Why does the domain and range of $\sqrt x$ contain only positive real numbers?
105441
Find a meromorphic function $f$ with poles at $\dots,-3,-2,-1$
140978
Real domain and range function to find all functions with nonzero x.
22865
Sine function dense in $[-1,1]$
71891
$\lim_{x \to 0} f(x)=\frac{\tan 3x}{\tan 2x}$ without L'Hospital
134720
Show that there is no increasing function $f: \aleph_1 \to \mathbb{R}$
64836
Functions that are always less than their derivatives
141863
If the imaginary part of an entire function is never zero, the function is constant
39583
ii) Show that $u$ is not a real part of the function which analytic on $\mathbb{C} \backslash \lbrace 0 \rbrace$
55679
Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
55138
An analytic function $f$ on $\{z \in\mathbb{C} : |z|>1 \}$
148247
Prove the existence of an analytic function
12349
a construction of a continuous function from a normal space to [0,1]