32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-|x|)) on [-Inf,Inf] are computed by a moment-based method using the routine sr_binet(dig,32,100), where dig=64 has been determined by the routine dig_binet(100,56,4,32). The respective moments are expressible in terms of the gamma and zeta functions. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for any precision.

Researchers should cite this work as follows:

• Walter Gautschi (2017). 32-digit values of the first 100 recurrence coefficients for the Binet weight function. (Version 2.0). Purdue University Research Repository. doi:10.4231/R7PC30JZ

  BibTex | EndNote

1. Binet weight function
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 dataset contains updated version of the script smom_binet.m.