POEXPINT: Polynomials orthogonal with respect to the exponential integral

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By Walter Gautschi

Purdue University

Matlab scripts for computing orthogonal polynomials whose weight function involves an exponential integral

Version 1.0 - published on 28 Apr 2014 doi:10.4231/R7X34VD9 - cite this Archived on 25 Oct 2016

Licensed under CC0 1.0 Universal

Description

Matlab scripts for computing orthogonal polynomials whose weight function involves the exponential integral E_nu, nu>0, on [0,Inf] or [0,c], c>0.

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Matlab files:

  • momEnu.m
  • r_Enu.m
  • smomEnu.m
  • sr_Enu.m
  • condEnu.m
  • run_sr_Enu.m
  • Reiz.m
  • sr_Enumod.m
  • mmomEnu.m
  • smmomEnu.m
  • condEnumod.m
  • r_Enumod.m
  • momEmfin.m
  • smomEmfin.m
  • run_momEmfin.m
  • r_Emfin.m
  • sr_Emfin.m
  • condEmfin.m
  • run_condEmfin.m
  • run_sr_Emfin.m
  • Kegel.m

These Matlab codes serve as a companion piece to the paper Gautschi, W. (2015). Polynomials orthogonal with respect to exponential integrals. Numerical Algorithms, 70(1), 215–226. doi:10.1007/s11075-014-9943-8

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