32-digit values of the first 200 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a=1/2, b=1, are computed by a moment-based method using the routine sr_l_alglog(dig,32,200,1/2,1), where dig=328 has been determined by the routine dig_l_alglog(200,1/2,1,320,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a > -1, b > -1, as well as for different precisions. If the singularities, with the same exponents, occur at the right endpoint, that is, if w(x)=(1-x)^a*[log(1/(1-x))]^b on [0,1], then the alpha-coefficients must be replaced by 1 minus the present ones, whereas the beta-coefficients remain the same.

Researchers should cite this work as follows:

• Walter Gautschi (2017). 32-digit values of the first 200 recurrence coefficients for the weight function w(x)=x^(1/2)*log(1/x) on [0,1]. (Version 2.0). Purdue University Research Repository. doi:10.4231/R7V9863C

  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 one text file and four Matlab scripts. This is a revised and improved version of the dataset doi: 10.4231/R7FF3QBG.