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Find-a-n-if-1-z-m-coth-piz-cot-zpi-n-0-a-n-z-n-around-z-0-




Question Number 136038 by frc2crc last updated on 18/Mar/21
Find a_(n ) if  (1/z^m )×coth (πz)×cot (zπ)=Σ_(n=0) ^∞ a_n z^n   around z=0
$${Find}\:{a}_{{n}\:} {if} \\ $$$$\frac{\mathrm{1}}{{z}^{{m}} }×\mathrm{coth}\:\left(\pi{z}\right)×\mathrm{cot}\:\left({z}\pi\right)=\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}{a}_{{n}} {z}^{{n}} \\ $$$${around}\:{z}=\mathrm{0} \\ $$

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