32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=10 are computed by a moment-based method using the routine sr_freud(dig,32,100,0,10), where dig=92 has been determined by the routine dig_freud(100,0,10,84,4,32). For the respective moments, see Exercise 2.23(a) in Walter Gautschi, "Orthogonal polynomials in MATLAB: Exercises and Solutions", Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. The software provided in this data set allows generating an arbitrary number N of recurrence coefficients with arbitrary exponents mu > -1, nu > 0, 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 Freud weight function with exponent 10. (Version 2.0). Purdue University Research Repository. doi:10.4231/R74F1NPK
The version 2.0 of this dataset was supplemented by four Matlab scripts and an updated text file.