Find the coefficient of $z$ in the Laureant Series expansion of $\frac{e^z}{z-1}$
110869
Find the coefficient of $z$ in the Laurent series expansion of $\frac{e^z}{z-1}$ in ${|z| > 1}$
35556
$f(z)=\frac{z}{1+|z|} $ Is 1-1?
154544
Prove that $ \sum_{n=0}^\infty \frac{z^{2^n}}{1-z^{2^{n+1}}}=\frac{z}{1-z} $
100936
What is the sum of this series: $\frac{2}{\pi}\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$
76532
Two different expansions of $\frac{z}{1-z}$
74081
Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
116014
Write $\frac {1}{1+z^2}$ as a power series centered at $z_0=1$
43903
Find the sum for $\sum_{n=1}^{\infty}(-1)^{(n+1)}\frac{2n+1}{3^n} $
21993
Taylor Expansion $\log(\frac{1+z}{1-z})$
49936
Various evaluations of the series $\sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)^3}$
121554
Finding $\sum\frac{1}{2^n(n+1)}$
73607
Find the residue at $z=-2$ for $g(z) = \frac{\psi(-z)}{(z+1)(z+2)^3}$
83557
$\frac{x^2}{y+z}+\frac{y^2}{x+z}+\frac{z^2}{x+y} \ge \frac{1}{2}(x+y+z)$
140399
Taylor series for $\ln(\frac{1-z^2}{1+z^3})$
141390
Closed form for $\sum_{n=-\infty}^\infty \frac{1}{(z+n)^2+a^2}$
114734
Prove that $\frac{1}{2\pi i}\int_\mathcal{C} |1+z+z^2+\cdots+z^{2n}|^2~dz =2n$ where $\mathcal{C}$ is the unit circle
32122
Find the coefficient of the term $x^2$ in $\left(x+\frac 2x\right)^{4}$