32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=exp(-x)*log(1+1/x) on [0,1], are computed by a 2-component discretization method using the routine sr_explog01(32,65), where dig=36 has to be entered when prompted by the routine. The number 36 of digits has been determined by the routine dig_explog01(65,32,4,32). Both these routines make use of the 200 recurrence coefficients for the weight function log(1/x) on [0,1] provided in the dataset doi: 10.4231/R7QN64RH. This is the reason why only 65 recurrence coefficients are produced in the present dataset. If more are desired, the dataset for log(1/x) would have to be revised so as to generate sufficiently more than 200 recurrence coefficients.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2017). 32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity. Purdue University Research Repository. doi:10.4231/R7RJ4GGK
The dataset consists of two text files and ten Matlab scripts.