Compute the series \(J ( a ) = \sum _ { n = - \infty } ^ { \infty } | 2 n + 1 | e ^ { - a | 2 n + 1 | }\) for \(a > 0\)
$\sum_{n\in\mathbb{Z}}\lvert 2n+1\rvert e^{-a\lvert 2n+1\rvert}$
P-TRIV-RA56
- Area
- Real Analysis
- Status
- draft
P-TRIV-RA56
Compute the series \(J ( a ) = \sum _ { n = - \infty } ^ { \infty } | 2 n + 1 | e ^ { - a | 2 n + 1 | }\) for \(a > 0\)