32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^(2*mu)*exp(-x^{^2}) on [-c,c], c=1, mu=-1/4, are computed by a moment-based method using the routine sr_symm_subrange_ghermite(dig,32,100,1,-1/4), where dig=108 has been determined by the routine dig_symm_subrange_ghermite (100,1,-1/4,100,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary c > 0, mu > -1/2, as well as for different precisions.

Researchers should cite this work as follows:

• Gautschi, W. (2016). 32-digit values of the first 100 recurrence coefficients for symmetric subrange generalized Hermite polynomials with exponent -1/2. Purdue University Research Repository. doi:10.4231/R73B5X4W

  BibTex | EndNote

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

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