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if-n-1-1-n-1-n-x-2-n-c-n-x-find-c-n-x-




Question Number 30440 by abdo imad last updated on 22/Feb/18
if   (Σ_(n≥1)    (((−1)^(n−1) )/n^x ))^2 = Σ_n   c_(n ) (x)  find c_n (x).
$${if}\:\:\:\left(\sum_{{n}\geqslant\mathrm{1}} \:\:\:\frac{\left(−\mathrm{1}\right)^{{n}−\mathrm{1}} }{{n}^{{x}} }\right)^{\mathrm{2}} =\:\sum_{{n}} \:\:{c}_{{n}\:} \left({x}\right)\:\:{find}\:{c}_{{n}} \left({x}\right). \\ $$

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