32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-x)) on [c,Inf], c=1, are computed by a moment-based method using the routine sr_usrbinet_alt(dig,32,100,1), where dig=128 has been determined by the routine dig_usrbinet_alt(100,1,120,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary c, 0 < c < Inf, and for different precisions.

Researchers should cite this work as follows:

• Walter Gautschi (2017). 32-digit values of the first 100 recurrence coefficients for the upper subrange Binet weight function on [c,Inf], c=1. (Version 3.0). Purdue University Research Repository. doi:10.4231/R7CZ35CV

  BibTex | EndNote

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

The dataset consists of one text file and four Matlab scripts. This is a considerably modified version. The matlab scripts sgauss.m and sr_laguerre.m were removed; and scripts smom_usrbinet.m, dig_usrbinet.m, and sr_usrbinet.m were updated.