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=0, are computed by a moment-based method using the routine sr_hrghermite(dig,32,100,0), where dig=140 has been determined by the routine dig_hrghermite(100,0,132,4,32). 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:
- Walter Gautschi (2016). 32-digit values of the first 100 recurrence coefficients for the half-range generalized Hermite weight function with exponent 0. (Version 2.0). Purdue University Research Repository. doi:10.4231/R7ZP443R
The version 2.0 of this dataset was supplemented by four Matlab scripts and an updated text file.