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 [0,c], c=1, mu=-1/4, are computed by a moment-based method using the routine sr_lower_subrange_ghermite(dig,32,100,1,-1/4), where dig=184 has been determined by the routine dig_lower_subrange_ghermite (100,1,-1/4,176,4,32). 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 lower subrange generalized Hermite polynomials with exponent -1/2. Purdue University Research Repository. doi:10.4231/R7Q23X6V
Tags
Notes
The dataset consists of one text file and six Matlab scripts.