32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[log(1/x)]^2 on [0,1]

<p>32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*[log(1/x)]^b on [0,1], a=0, b=2, are computed by a moment-based method using the routine sr_l_alglog(dig,32,100,0,2), where dig=176 has been determined by the routine dig_l_alglog(100,0,2,168,4,32). 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.</p>