32-digit values of the first 64 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,1], a=1, are computed by a 1-component discretization method using the routine sr_explog_fin(32,64), where dig=36 and a=1 have to be entered when prompted by the routine. The number 36 of digits has been determined by the routine dig_explog_fin(64,32,4,32). 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 64 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity. Purdue University Research Repository. doi:10.4231/R7H1300S

  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.