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find-S-z-n-1-z-n-n-2-with-z-complex-and-z-1-




Question Number 46712 by maxmathsup by imad last updated on 30/Oct/18
find S(z)=Σ_(n=1) ^∞  (z^n /n^2 ) with z complex and ∣z∣=1 .
$${find}\:{S}\left({z}\right)=\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{{z}^{{n}} }{{n}^{\mathrm{2}} }\:{with}\:{z}\:{complex}\:{and}\:\mid{z}\mid=\mathrm{1}\:. \\ $$

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