遇见数据集

32-digit values of the first 100 recurrence coefficients for a modified Bessel weight function

收藏
DataCite Commons2025-12-18 更新2025-04-16 收录
官方服务:

资源简介:

<p>32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=c*K_nu(x) on [0,Inf], c=2cos(nu*pi/2)/pi, are computed for nu=1/3 by a moment-based method using the routine sr_modbess(dig,32,100,1/3), where dig=124 has been determined by the routine dig_modbess(100,1/3,116,4,32). For the respective moments, see Section 4.1 in Walter Gautschi, "Computation of Bessel and Airy functions and of related Gaussian quadrature formulae", BIT 42 (2002), 110-118. doi: doi:10.1023/A:1021974203359. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary order nu>0 (not an integer) in w(x) and different precisions.</p>

创建时间:
2016-10-17
二维码
社区交流群
二维码
科研交流群
商业服务