Lerch Transcendent and Polylogarithm

Description:This program computes the Lerch transcendent Phi(z, s, a). The arguments may be real or complex. The program is a straightforward implementation of the function definition and it converges fairly quickly if |z| is not close to 1. The execution time rises and accuracy decreases as |z| approaches 1, so this is not an efficient algorithm for the Zeta function. The number 9999 for the maximum number of iterations may be lowered to improve speed at the cost of accuracy for values of |z| close to 1.
Author:John Keith
Downloaded file size:1,930 bytes
Size on calculator:1 KB
Platforms:49/50 48  
User rating:Not yet rated (you must be logged in to vote)
Primary category:Math/Misc
File date:2021-11-24 23:28:23
Creation date:2021-10-20
Source code:Included
Download count:131
Version history:2021-11-24: Added to site
Archive contents:
  Length      Date    Time    Name
---------  ---------- -----   ----
      156  2021-11-24 23:25   lerch.48
      156  2021-11-24 23:23   lerch.49
     3445  2021-11-24 23:25   lerch.html
---------                     -------
     3757                     3 files
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Copyright 1997-2024 Eric Rechlin.