Description
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,Inf], c=1, mu=0, are computed by a moment-based method using the routine sr_upper_subrange_ghermite(dig,32,100,1,0), where dig=156 has been determined by the routine dig_upper_subrange_ghermite(100,1,0,148,4,32). 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.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2016). 32-digit values of the first 100 recurrence coefficients for upper subrange generalized Hermite polynomials. Purdue University Research Repository. doi:10.4231/R7736NWN
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Notes
The dataset consists of one text file and five Matlab scripts.