polylogarithm function...

bulash

Hi everyone,

Anyone knows how can I insert a polylogarithm function to FORTRAN? I am trying to put Li_2(z) polylogarithm function to my equation.

Thank you in advance.

bulash.

mathmate

You'd have to write the function, if you do not have it in a library of functions.
If you need help with the definition of the function, check the following site:
http://en.wikipedia.org/wiki/Polylogarithm
If you have difficulties with writing the function, you can post what you've got, and we will then know how we can help.

bulash

OK. Thank you very much!

rashore

A good reference for a polylogarithm function algorithm is the following:
Note on fast polylogarithm computation
File Format: PDF/Adobe Acrobat - View as HTML
Abstract: The polylogarithm function Li .... assumed that −π < arg z ≤ π, whence the analytic continuation with proper branch cut ...
people.reed.edu/~crandall/papers/Polylog.pdf - Similar pages
by RE Crandall -

If you are interested please send me an email (rashore1@yahoo.com) and I will then send you copies of the FORTRAN codes I wrote to calculate the dilogarithm and trilogarithm functions of complex argument based on Crandall's algorithm. I've checked them using Mathematica and they work quite well.