32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^(2*mu)*exp(-x2) on [0,Inf], mu=-1/4, are computed by a moment-based method using the routine sr_hrghermite(dig,32,100,-1/4), where dig=140 has been determined by the routine dig_hrghermite(100,-1/4,132,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for an arbitrary 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 the half-range generalized Hermite weight function with exponent -1/2. Purdue University Research Repository. doi:10.4231/R7Q81B2B
The dataset consists of one text file and four Matlab scripts.