32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x^4)^(1/2) on [0,1]
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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* (1-x^c)^b on [0,1],
a=0, b=1/2, c=4, are computed by a moment-based method using the routine
sr_alg(dig,32,100,0,1/2,4), where dig=180 has been determined by the
routine dig_alg(100,0,1/2,4,172,4,32). The results are in complete agreement
with the first 26 recurrence coefficients given to 25 digits in Table 17 of Paul F.
Byrd and David C. Galant, "Gauss quadrature rules involving some nonclassical
weight functions", NASA Technical Note D-5785, National Aeronautics and Space
Administration, Washington, D.C., 1970. The software provided in this dataset
allows generating an arbitrary number N of recurrence coefficients for arbitrary
a > -1/2, b > -1/2, c > 0, as well as for different precisions. </p>
提供机构:
Purdue University Research Repository
创建时间:
2016-11-15



