So I have this formula $$\cot(z)=\sum_{n\in Z} \frac{1}{z-n\pi}=\frac{1}{z}+2z\sum_{k=1}^{\infty}\frac{1}{z^2-(k\pi)^2}$$ from wikipedia. How do you find this formula with Mittag-Leffler theorem? Or is this formula correct?
Thank you
2026-04-29 10:31:32.1777458692
How do I find the pole expansion of the meromorphic function $\cot(z)$ with Mittag-Leffler theorem?
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