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]
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<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)]^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, &quot;On certain slowly convergent series occurring in plate contact problems&quot;, 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&gt;-1 (not an integer) as well as for different precisions</p>
提供机构:
Purdue University Research Repository
创建时间:
2016-10-20



