did
Posts:
75
Registered:
9/14/05


Inversion Lerch Phi
Posted:
Apr 12, 2012 1:01 AM


Hi all,
I am wondering if there is exist an inversion formula for the Lerch transcendent Phi(x,s,a) similar to the inversion of the polylogarithms.
More precisely, I would like to simplify the expression
Phi(z,s,a) +/ (1)^s * Phi(1/z,s,a) = ???
at least for s=1. The ??? should be an expression easier to compute than Phi.
Did

