Evaluate $\sum_{m=1}^{\infty}p^{m-1} e^{\lambda z^m}$

Asked Oct 03 '15 at 03:08

Active Oct 03 '15 at 16:19

Viewed 29 times

I've spent hours on a problem, but it boils down to evaluating this sum:

$\sum_{m=1}^{\infty}p^{m-1} e^{\lambda z^m}$

where,

$z, \lambda\in \mathbb{R}, p\in [0,1]$

I don't know how to evaluate it. Is this trivial?

edited Oct 03 '15 at 16:19

asked Oct 03 '15 at 03:08

Kerry

can you tell us somthing about the variables? – Dr. Sonnhard Graubner Oct 03 '15 at 03:26
@Dr.SonnhardGraubner updated! – Kerry Oct 03 '15 at 03:31

0 Answers0