32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=1, are computed by a moment-based method using the routine sr_boseeinstein(dig,32,100,1), where dig=124 has been determined by the routine dig_boseeinstein(100,1,116,4,32). For the respective moments, see Section 4 in Walter Gautschi, "Variable-precision recurrence coefficients for nonstandard orthogonal polynomials", Numerical Algorithms 52 (2009), 409-418. doi: 10.1007/s11075-009-9283-2. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary integer r>0 as well as for different precisions.

Researchers should cite this work as follows:

• Walter Gautschi (2016). 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein weight function. (Version 2.0). Purdue University Research Repository. doi:10.4231/R7MG7MGF

  BibTex | EndNote

1. Bose-Einstein distribution
2. Computer Science
3. Computer Science (Dept)
4. Equation Table
5. Gaussian quadrature
6. Mathematics
7. Matlab
8. OPQ routine
9. Orthogonal polynomials
10. Quadrature and cubature formulas
11. Walter Gautschi Archives

The version 2.0 of this dataset was supplemented by four Matlab scripts and an updated text file.