Develop into Laurent series around $-i$: $\frac{z +1}{(z-i)^2} .$
117691
Taylor series $\frac{z^2+z}{(z-1)^2}$ at $z=-1$
122181
Application of Complex Numbers
326
Find $\sum_{k=1}^{\infty}\frac{1}{2^{k+1}-1}$
85260
Find a formula for Taylor series of $\left(\frac{1}{1+z^2}\right)^n$
13979
Show that $\sum\limits_{n=0}^\infty \frac{z}{(1+z^2)^n}$ converges for all $z\in \mathbb{C}$ outside $|1+z^2|=1$
44928
Show $\sum_n \frac{z^{2^n}}{1-z^{2^{n+1}}} = \frac{z}{1-z}$
154322
Localizing the zeros of $z^4+z+1$
142619
Evaluating the complex integral $\int_{|z|=2}^{}\frac{1}{z^2+1}dz$
4414
Computig the series $\sum\limits_{n=2}^\infty \ln\left(1-\frac{1}{n^2}\right)$
27323
Convergence of the complex series $\sum_{n=0}^{\infty} \frac{(-1)^{n}}{z+n}$
146762
Closed form for $\sum_{k=0}^{n} \binom{n}{k}\frac{(-1)^k}{(k+1)^2}$
24508
Series as an integral (sophomore's dream)
24373
Hint on computing the series $\sum_{n=2}^\infty \frac{1}{n^2-1}$.
70841
A simple series $\sum_{i=1}^\infty \frac{i}{2^i} = 2$
50812
Partial sum of the series $\sum\limits_{r=1}^{\infty} \frac{1}{r(r+1)}$
86194
Infinite series with the binomial coefficient
5034
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$