- #1
rman144
- 35
- 0
[tex]\sum_{n=1}^{\infty}(-1)^{n}\frac{e^{-\frac{1}{nx}}}{n}[/tex]
Where 0<x<oo.
I'm looking for a closed form/ closed representation for this series [I was thinking something like a polylogarithm or dirichlet eta function combination might work].
Any ideas or suggestions would be much appreciated.
Where 0<x<oo.
I'm looking for a closed form/ closed representation for this series [I was thinking something like a polylogarithm or dirichlet eta function combination might work].
Any ideas or suggestions would be much appreciated.