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32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponents mu=0, nu=4

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DataCite Commons2025-12-18 更新2025-04-16 收录
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https://purr.purdue.edu/publications/2321/1
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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^mu*exp(-x^nu) on [0,Inf], mu=0, nu=4, are computed by a moment-based method using the routine sr_hrfreud(dig,32,100,0,4), where dig=156 has been determined by the routine dig_hrfreud(100,0,4,148,4,32). For the respective moments, see Exercise 2.20(a) in Walter Gautschi, "Orthogonal polynomials in MATLAB. Exercises and solutions, Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary exponents mu>-1/2, nu>0, as well as for different precisions.</p>
提供机构:
Purdue University Research Repository
创建时间:
2016-12-09
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