32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=exp(-x2) 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.
Cite this work
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
The dataset consists of one text file and seven Matlab scripts.