query: calculating the residue of $f(z)=\frac{\cot(z)\coth(z)}{z^3}$
positive_passages.docid: 153842
positive_passages.text: Residue of $f(z)=\frac{\cot(z)\coth(z)}{z^3}$
negative_passages.docid: 52774
negative_passages.text: Computing an infinite sum using the Residue theorem
negative_passages.docid: 34095
negative_passages.text: Calculating residue of pole of order $2$
negative_passages.docid: 83080
negative_passages.text: Question regarding $f(n)=\cot^2\left(\frac\pi n\right)+\cot^2\left(\frac{2\pi}n\right)+\cdots+\cot^2\left(\frac{(n-1)\pi}n\right)$
negative_passages.docid: 120985
negative_passages.text: Prove that $\mathrm{Res}[f/g,z_0]=\frac{f(z_0)}{g'(z_0)}$
negative_passages.docid: 156720
negative_passages.text: Evaluate $\sum_ {n=1}^{\infty} \cot^{-1}(2n^2)$
negative_passages.docid: 136981
negative_passages.text: How can I solve this integral using the Residue theorem?
negative_passages.docid: 109606
negative_passages.text: Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$
negative_passages.docid: 24656
negative_passages.text: Proving that $\frac{\csc\theta}{\cot\theta}-\frac{\cot\theta}{\csc\theta}=\tan\theta\sin\theta$
negative_passages.docid: 140638
negative_passages.text: Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
negative_passages.docid: 128749
negative_passages.text: Taylor's Remainder $x-\frac{x^2}{2}+\frac{x^3}{3(1+x)}<\log(1+x) <x-\frac{x^2}{2}+\frac{x^3}{3}$
negative_passages.docid: 154185
negative_passages.text: Evaluate $\iiint_{[0,1]^3}\frac{dx\,dy\,dz}{(1+x^2+y^2+z^2)^2}$
negative_passages.docid: 158235
negative_passages.text: Laurent Series for $\cot(\pi z)$
negative_passages.docid: 101371
negative_passages.text: show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
negative_passages.docid: 35556
negative_passages.text: $f(z)=\frac{z}{1+|z|} $ Is 1-1?
negative_passages.docid: 60673
negative_passages.text: To prove $\sum_{cyc}\frac{1}{a^3+b^3+abc} \le \frac{1}{abc}$
negative_passages.docid: 12196
negative_passages.text: Calculate Laurent series for $1/ \sin(z)$