New posts in Power Series

A power series equality involving binomial coefficients

Find the sum: $\sum_{n=0}^\infty \frac{(n!)^2}{(2n)!}x^n$

Prove this formula $\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}= 1+\sum_{n=1}^{+\infty}r^{n}\cos\left(nx\right)$

How to solve this differential equation via power series

Looking for analytical proof that this function given as a power series is constant.

Formal power series with coefficient in $\{0,1 \}$ which is not rational

Getting two very different answers for Maclaurin series for $xe^{x}$ - how is this possible?

Hard power series problem

Maximum area of circles inscribed in sectors of the unit circle

Closed-form for $ \sum_{n=0}^{\infty} \frac{x^n}{n!}n^p, $ where $p\in\mathbb{N}$