Residue of $f(z)$ using Laurent Series at $z=-2$
73607
Find the residue at $z=-2$ for $g(z) = \frac{\psi(-z)}{(z+1)(z+2)^3}$
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
93276
A question on applying Residue Theorem to definite real integral
121128
Calculating a Residue at one of the poles of $\frac{1}{1+z^n}$
125701
Prove that $-2\log(2) = -2 + \sum_{n=1}^{\infty}\frac{1}{n(2n+1)}$
99316
Multivariate Residue Theorem?
61466
what is $\int_{|z|=3}\frac{1}{(z-2)^n(z-4)^m}dz$ for $m,n\in\mathbb{N}$?
108872
Residues of $z^2\sin(\frac{1}{z})$
75625
Complete residue system proof
65276
Residues and poles proof
100720
Negative quotients and their remainders
14648
Show that $f_0 - f_1 + f_2 - \cdots - f_{2n-1} + f_{2n} = f_{2n-1} - 1$ when $n$ is a positive integer
116014
Write $\frac {1}{1+z^2}$ as a power series centered at $z_0=1$
76194
How one can obtain roots at the negative even integers of the Zeta function?
69219
Prove there is a point $z\in[a,b]$ at which $f(z)=\frac{f(x_1)+f(x_2)+\cdots+f(x_k)}{k}$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
29383
Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus