New posts in complex-analysis

Non-computable function having computable values on a dense set of computable arguments

Is a smooth function sending algebraic numbers to algebraic numbers a polynomial?

Continued Fraction: Please prove $\frac{1}{e \gamma (x+1,1)}=x+\frac{1}{x+1+\frac{2}{x+2+\frac{3}{x+3+\frac{4}{\dots}}}}$

Showing that the image of a function is $\mathbb{C}$ if it satisfies a nice functional equation

$n$ insects on $|z|=1$ "occupy" a point if the product of their distances to it is at most $1$. How much of $C$ can they occupy?

Number of distinct values of $ \oint_\gamma \frac{dz}{(z-a_1)(z-a_2)...(z-a_n)}$ for closed $ \gamma $

Show that if f is analytic in $|z|\leq 1$, there must be some positive integer n such that $f(\frac{1}{n})\neq \frac{1}{n+1}$

Explicit computation of the Hodge codifferential

Computation of $\int_{-\infty}^{\infty} \left(\frac{\sin x}{x}\right)^2e^{itx}dx$ for real $t$ [duplicate]

Smoothest function which passes through given points?

Number of roots of a sequence of a uniformly convergent holomorphic functions implies an upper bound for the number of roots of their limit

$\int_{\mathbb{R}}f(x)e^{-ixz}d\mu_x$ analytic for $f\in L_1$

Uniform convergence of real part of holomorphic functions on compact sets

Error on Wikipedia: Nelson's proof of Liouville's theorem works only for bounded modulus?

Zeros set of analytic functions over complex plane with several variables

A Möbius transformation maps circles and lines to circles and lines. What exactly does that mean?

Prove that a holomorphic function injective in an annulus is injective in the whole ball

Is there a variant of the implicit function theorem covering a branch of a curve around a singular point?

Do any authors take the sheaf-theoretic viewpoint on multivalued functions and/or indefinite integrals?

Combinatorial interpretation of the identity $(f \circ f \circ f)(x) = x$ where $f(x) = 1/(1-x)$ for $x\in(-1,1)$