New posts in complex-analysis

Proving $\sec^{-1}(z) = -i\log\left[ \frac{1}{z} + \left(\frac{1}{z^2} - 1 \right)^{1/2}\right]$ [closed]

$L^{\infty}$ norm is bounded by $L^2$ norm for holomorphic functions

Polar Density of a Set of Primes

Complex integral with zeta

An analytic function with a simple pole

Series of iterates of a power series

Does there exist an analytic function s.t. $f\left(\frac{1}{n}\right)=2^{-n}.$

The Hairy ball theorem and Möbius transformations

Continuity of the derivative

How to prove that all zeros of the complex polynomial $P(z)$ lie in $\Bbb{D}$?

Integral of inverse Laplace transform

Why does the winding number become zero when the region is unbounded

Show that Series $\sum \frac{2^{n}(z+3)^{n}}{3n}$

Residues of $z^2\sin(\frac{1}{z})$

$f$ continuous, $f^N$ analytic on a domain D implies $f$ analytic on D

Reference request for CMI M.Sc entrance exam

Smoothness of $\frac12[W_0(x)+W_{-1}(x)]$ for real $x<0$

A limit involving the Thue–Morse sequence

Reference request for a book that covers analytic continuation in great detail starting from basics

How big can $U\subset\mathbb{C}$ be if there exists a non-constant holomorphic $f\colon U\to\mathbb{C}$ with $2f(2z)=f(z)+f(z+1)?$