32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^(2*μ)*exp(-x^2) on [c,Inf], c = -1, μ = 1/4, are computed by a moment-based method using the routine sr_upper_subrange_ghermite(dig,32,100,-1,1/4), where dig=128 has been determined by the routine dig_upper_subrange_ghermite(100,-1,1/4,120,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary real c and μ > -1/2, 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 generalized Hermite weight function on [c,Inf], c = -1, with exponent 1/2. Purdue University Research Repository. doi:10.4231/R7KW5D16
The dataset consists of one text file and seven Matlab scripts.