32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^(2*mu)*e^(-x^2) 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=144 has been determined by the routine dig_hrghermite(100,1/4,136,4,32). 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/R7KH0K95
The dataset consists of one text file and four Matlab scripts.