New posts in analytic-functions

Complex integral

If $f$ is analytic then $|f|$ is not constant unless $f$ is constant

Let $f(z)=\sum\limits_{n=0}^{\infty}a_n z^n$ be an analytic function in $|z|\leq R$ such that $|f(z)|\leq M$. Prove an inequality about $f$'s zero

If $a\operatorname{Re}(f(z))+b\operatorname{Im}(f(z))=c$ then f is constant

Can $f(x)=\int_{0}^{\infty}t^{x^2+1}e^{-2t}dt$ be written as a power series in a neighbourhood of zero?

SQL Row_Number() function in Where Clause

The Lebesgue measure of zero set of a polynomial function is zero

Analytic function and the Lagrange interpolating polynomial

On certain algebraic functions on the interval $[0, 1]$

Locating the vertex of a hyperbola from a particular function

Show $\not\exists$ $f\in O(\mathbb{C})$ holomorphic such that $f(z)=\overline{z}$ when $|z|=1$.

Calculating Cumulative Sum in PostgreSQL

Uniqueness of analytic function

Extension of real analytic function to a complex analytic function

Is a $\mathscr{C}^{\infty}$ function with negative derivatives decreasing?

MySQL get row position in ORDER BY

Struggling to compute a power series for a complex value function

Why is the notion of analytic function so important?

Bounding the derivative of a holomorphic function at the origin.