32-digit values of the first 62 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=5, are computed by a 1-component discretization method using the routine sr_explog_inf(32,62), where dig=48 and a=5 have to be entered when prompted by the routine. The value 48 of dig has been determined by the routine dig_explog_inf(62,32,4,32), where a=5 has to be entered when prompted. The software provided in this dataset allows generating any number N <= 65-ceil(a/2) of recurrence coefficients for any nonnegative integer a and for any precision of less than, or equal, 32 digits.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 62 recurrence coefficients for the weight function w(x)=x^5*exp(-x)*log(1+1/x) on [1,Inf]. Purdue University Research Repository. doi:10.4231/R73R0QWH

  BibTex | EndNote

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

The dataset consists of two text files and eight Matlab scripts.