did
Posts:
76
Registered:
9/14/05


Re: Inversion Lerch Phi
Posted:
Apr 16, 2012 5:36 AM


On 4/16/12 9:52 AM, clicliclic@freenet.de wrote: > I don't have much time, but to put an end to this Maplomatica insanity I > have fired up Derive 6.10 and loaded my normative implementation of > Lerch's transcendent. I find that > > lerch(z, 1, a)  lerch(1/z, 1, a) > > numerically agrees with > > 1/a  ( 1/z)^a*pi/SIN(pi*(1 + a)) > > everywhere except for real z with z> 1, and numerically agrees with > > 1/a + (z)^(a)*pi/SIN(pi*(1  a)) > > everywhere except for real z with 0< z< 1. Checked by plotting RE and > IM versus z, versus z+#i, and versus z#i for a = 1/2, and by plotting > RE and IM versus a for z = 1/2 and for z = 2. > > Martin.
Thx. And MMA agrees with Derive.

