32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=exp(-x^{^2}) on [c,Inf], c=-√(1/2), are computed by a moment-based method using the routine sr_upper_subrange_ghermite(dig,32,100,-√(1/2),0), where dig=132 has been determined by the routine dig_upper_subrange_ghermite(100,-√(1/2),0,124,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary real c 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 upper subrange Hermite weight function on [c,Inf], c=-√(1/2). Purdue University Research Repository. doi:10.4231/R7028PHC

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Hermite 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 seven Matlab scripts.