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

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https://purr.purdue.edu/publications/2298/1
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资源简介:
<p>32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*(x-1-log(x)) on [0,Inf], a=-1/2, are computed by a moment-based method using the routine sr_lalog(dig,32,100,-1/2), where dig=124 has been determined by the routine dig_laglog(100,-1/2,116,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a>-1 as well as for different precisions. For the moments, see Section 2.1 of Walter Gautschi, "Gauss quadrature routines for two classes of logarithmic weight functions", Numerical Algorithms 55 (2010), 265-277. doi: <a href="http://link.springer.com/article/10.1007/s11075-010-9366-0">10.1007/s11075-010-9366-0</a>.</p>

区间[0, +∞)上权函数(weight function)$w(x)=x^aexp(-x)(x-1-log x)$(其中$a=-1/2$)的前100个递推系数(recurrence coefficients)的32位有效数值。
提供机构:
Purdue University Research Repository
创建时间:
2016-11-22
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