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32-digit values of the first 100 recurrence coefficients for the Jacobi weight function on [0,1] with exponents 1/2 times a logarithmic factor

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DataCite Commons2025-12-18 更新2025-04-16 收录
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https://purr.purdue.edu/publications/2234/1
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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)=(1-x)^a*x^b*log(1/x) on [0,1], a=b=1/2, are computed by a moment-based method using the routine sr_jaclog(dig,32,100,1/2,1/2), where dig=180 has been determined by the routine dig_jaclog(100,1/2,1/2,172,4,32). For the moments, see Section 3.1 in Walter Gautschi, "Gauss quadrature routines for two classes of logarithmic weight functions", Numerical Algorithms 55 (2010), 265-277. doi:10.1007/s11075-010-9366-0. 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.</p>
提供机构:
Purdue University Research Repository
创建时间:
2016-10-20
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