32-digit values of the first 100 recurrence coefficients for a Pollaczek-type weight function with parameter 1/10

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/10

Version 1.0 - published on 27 Feb 2017 doi:10.4231/R7Z03656 - cite this Archived on 28 Mar 2017

Licensed under Attribution 3.0 Unported

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Description

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/10, are computed by a 5-component discretization procedure using the routine sr_pollaczek(32,100), where dig=36 to be entered has been determined by the routine dig_pollaczek(100,32,4,32). See also 10.4231/R73R0QV2 for values of the parameter a in the range 1/10 <= a <= 10.

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Tags

  1. Computer Science
  2. Mathematics
  3. Modification algorithms for orthogonal polynomials
  4. Orthogonal polynomials
  5. Pollaczek weigh function
  6. Walter Gautschi Archives
  7. weight functions

Notes

The dataset consists of one text file and six Matlab scripts.

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