32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)

Version 1.0 - published on 22 Apr 2014 doi:10.4231/R74Q7RWJ - cite this Archived on 25 Oct 2016

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The first 100 recurrence coefficients for the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev's algorithm in sufficiently high precision; cf. Sec.3 of "Gauss quadrature routines for two classes of logarithmic weight functions", Numerical Algorithms 55 (2010), 265-277.

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