LAMBERTW: Matlab programs for evaluating the Lambert W-functions and some of their integrals

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By Walter Gautschi

Purdue University

Matlab programs for evaluating the Lambert W-functions and some of their integrals

Version 1.0 - published on 23 Apr 2014 doi:10.4231/R7Z31WJP - cite this Archived on 25 Oct 2016

Licensed under CC0 1.0 Universal

Description

The real-valued Lambert W-functions considered here are w_0(y) and w_{-1}(y), solutions of we^w = y, -1/e < y < 0, with values respectively in (-1/e < y <0) and (-infinity, -1).

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Notes

This dataset contains 15 Matlab codes and files:

  • wofy.m
  • wofy0.m
  • wofy1.m
  • swofy.m
  • swofy0.m
  • swofy1.m
  • sI01infaa.m
  • sI101aa.m
  • smomvab.m
  • sr_vab.m
  • sI01infab.m
  • sr_jacobi01.m
  • smomuab.m
  • sr_uab.m
  • sI101ab.m

This piece serves as a companion piece to the paper,"The Lambert W-functions and some of their integrals: a case study of high-precision computation," Numerical Algorithms 57 (2011), 27-34, doi: 10.1007/s11075-010-9409-6.

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