New posts in Laurent Series

Given a recursion $a_{n+ 1}= \sqrt{na_{n}+ 2n+ 1}$ with $a_{1}\geq 1.$ Prove that $a_{n}\sim n\,{\rm as}\,n\rightarrow\infty$

Improving an approximation for the inverse of the Riemann–Siegel θ-function

Looking for a proof for the value of the residue.

$f(z)= \frac{z}{1-e^{-z}}$ $\Leftrightarrow$ $\forall n \ge 0$ and $n\in\mathbb{Z}$, coefficient of $z^n$ in $f^{n+1}(z)$ is $1$.

Calculating Laurent series expansion

Meromorphic Function on Extended Plane

Limit approach to finding $1+2+3+4+\ldots$

How to obtain the Laurent expansion of gamma function around $z=0$?

The Laurent series of $1/(z^2+1)^2$ in the annulus $0<|z-i|<2$

How to find Laurent series Expansion