prove that (π/(4cos(((πα)/2))))=Σ_(p=0) ^∞ (((2p+1)(−1)^p )/((2p+1)^2 −α^2 )) α ∈R−Z.


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Question Number 28818 by abdo imad last updated on 30/Jan/18

$p r o v e t h a t \frac{π}{4 c o s (\frac{π α}{2})} = \sum_{p = 0}^{\infty} \frac{(2 p + 1) {(- 1)}^{p}}{{(2 p + 1)}^{2} - α^{2}}$ $α \in R - Z .$
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