32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=0, are computed by a moment-based method using the routine sr_laglog(dig,32,100,0), where dig=124 has been determined by the routine dig_laglog(100,0,116,4,32). For the moments, see Section 2.1 in Walter Gautschi, "Gauss quadrature routines for two classes of logarithmic weight functions", Numerical Algorithms 55 (2010), 265-277, doi: 10.1007/s11075-010-9366-0 and Section 1 for an application. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a > -1 as well as for different precisions.

Researchers should cite this work as follows:

• Gautschi, W. (2016). 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-x)*(x-1-log(x)) on [0,Inf] obtained from moments. Purdue University Research Repository. doi:10.4231/R7T151N8

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Laguerre polynomials
4. Laguerre weight functions
5. Mathematics
6. Modification algorithms for orthogonal polynomials
7. Orthogonal polynomials
8. Walter Gautschi Archives

The dataset consists of one text file and four Matlab scripts.