32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*[log(1/x)]^2 on [0,1], a=1/2, are computed by a modified-moment-based method using the routine sr_jaclogsq(dig,32,100,1/2), where dig=36 has been determined by the routine dig_jaclogsq(100,1/2,28,4,32). For the modified moments, see Section 3 in Walter Gautschi, "On certain slowly convergent series occurring in plate contact problems", Mathematics of Computation 57 (1991), 325-338. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a>-1 (not an integer) as well as for different precisions
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2016). 32-digits values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)*[log(1/x)]^2 on [0,1]. Purdue University Research Repository. doi:10.4231/R7XS5SC9
The dataset consists of one text file and four Matlab scripts.