rman144
Aug9-09, 04:16 PM
\sum_{n=1}^{\infty}(-1)^{n}e^{-ln^{2}(nx)}
Where x is pure-real and 0<x<infinity.
I would be incredibly grateful if anyone knew of a closed form solution for this (theta funtion modified, gamma function modified, etc.) series, or any suggestions for manipulating the series to arrive at a more simplistic sum.
Thanks in advance.
EDIT: That ln^2(nx) means the the square of the natural log of (n*x).
Where x is pure-real and 0<x<infinity.
I would be incredibly grateful if anyone knew of a closed form solution for this (theta funtion modified, gamma function modified, etc.) series, or any suggestions for manipulating the series to arrive at a more simplistic sum.
Thanks in advance.
EDIT: That ln^2(nx) means the the square of the natural log of (n*x).