Demonstration Program
for LerchPhiCNCT

The LerchPhi software (contained in the file lerchphi.m) is copyright by
Sergej V. Aksenov 
(http://aksenov.freeshell.org/) and 
Ulrich D. Jentschura,
(jentschura@physik.uni-freiburg.de), 2002.

The current distribution is 1.0 (May 1, 2002).

Reading the Program

Read in file lerchphi.m from wherever you put it. This file defines the function 

LerchPhiCNCT[] 

and the symbols 

CNCTRelativeAccuracy,
CNCTMaximumIterations, 
CNCTBeta, and 
CNCTN, 

all in the global context.

<< lerchphi.m

?LerchPhiCNCT

Options[LerchPhiCNCT]

Example Calculations

An example for the CNCT-based routine using standard precision arithmetic...

LerchPhiCNCT[0.9999999, 3.5, 8.4]

...and using more accurate numerical data...

LerchPhiCNCT[0.999999900000000000000000000000, 15/10, 11/10, 
      CNCTRelativeAccuracy  ->  32]

The standard Mathematica implementation yields:

LerchPhi[0.9999999, 3.5, 8.4]

...and using more accurate numerical data...

LerchPhi[0.9999999000000000000000000000000000, 15/10, 11/10]