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) are computed for a=-1/2, b=1/2 by a modified-moment-based method using the routine sr_jaclog1(dig,32,100,-1/2,1/2), where dig=40 has been determined by the routine dig_jaclog1(100,-1/2,1/2,32,4,32). For the respective modified moments, see Section 3 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 exponents a > -1, b > -1.

Researchers should cite this work as follows:

• Walter Gautschi (2016). 32-digit values of the first 100 recurrence coefficients for an algebraically/logarithmically singular weight function on (0,1). (Version 2.0). Purdue University Research Repository. doi:10.4231/R7862DD9

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Equation Table
4. Gauss-Radau formula
5. Jacobi polynomials
6. Jacobi weight functions
7. Mathematics
8. Matlab
9. OPQ routine
10. Orthogonal polynomials
11. Walter Gautschi Archives

The version 2.0 was supplemented by five Matlab scripts.