32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^μ*exp(-x^ν) on [0,Inf], μ=0, ν=3, are computed by a moment-based method using the routine sr_hrfreud(dig,32,100,0,3), where dig=148 has been determined by the routine dig_hrfreud(100,0,3,140,4 32). For the respective moments, see Exercise 2.20(a) in Walter Gautschi,"Orthogonal polynomials in MATLAB: Exercises and solutions", Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary exponents μ > -1, ν > 0, as well as for different precisions.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponents mu=0, nu=3. Purdue University Research Repository. doi:10.4231/R7D21VMV

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Freud weight function
4. Mathematics
5. Modification algorithms for orthogonal polynomials
6. Orthogonal polynomials
7. Walter Gautschi Archives
8. weight functions

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