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=152 has been determined by the routine dig_upper_subrange_ghermite(100,√1/2,0,144,4,32). 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/R7NP22FV

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Hermite weight function
4. Mathematics
5. Modification algorithms for orthogonal polynomials
6. moment-based method
7. Orthogonal polynomials
8. Walter Gautschi Archives
9. weight functions

The dataset contains a data file and five Matlab routines.