32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=log^2(1-a*exp(-|x|)) on [-Inf,Inf], a = 1/2, are computed by a moment-based method using the routine sr_sqgbinet(dig,32,100,1/2), where dig=64 has been determined by the routine dig_sqgbinet(100,1/2,56,4,32). For the respective moments, see W. Gautschi and G.V. Milovanović, "Binet-type polynomials and their zeros", Electron. Trans. Numer. Anal., to appear. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for any parameter a, 0 < a < 1, and to any precision.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for the squared generalized Binet weight function with parameter 1/2. Purdue University Research Repository. doi:10.4231/R7V40SC7

  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 two text files and four Matlab scripts.