32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^μ*exp(-x^ν) on [0,Inf], μ=0, ν=3, are computed by a moment-based method using the routine sr_hrfreud(dig,32,100,0,3), where dig=148 has been determined by the routine dig_hrfreud(100,0,3,140,4 32). For the respective moments, see Exercise 2.20(a) in Walter Gautschi,"Orthogonal polynomials in MATLAB: Exercises and solutions", Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary exponents μ > -1, ν > 0, 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 half-range Freud weight function with exponents mu=0, nu=3. Purdue University Research Repository. doi:10.4231/R7D21VMV
The dataset consists of one text file and four Matlab scripts.