32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 2
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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/(exp(x)-1)]^r on [0,Inf], r=2, are computed by a moment-based method using the routine sr_boseeinstein(dig,32,100,2), where dig=168 has been determined by the routine dig_boseeinstein(100,2,160,4,32). For the respective moments, see Section 4 in Walter Gautschi, &quot;Variable-precision recurrence coefficients for nonstandard orthogonal polynomials&quot;, Numerical Algorithms 52 (2009), 409-418. doi: 10.1007/s11075-009-9283-2. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary integer r&gt;0 as well as for different precisions.</p>
提供机构:
Purdue University Research Repository
创建时间:
2016-10-13



