32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-x)) on [0,Inf] are computed by a moment-based method using the routine sr_hrbinet(dig,100), where dig=124 has been determined by the routine dig_hrbinet(100,116,4,32). The moments m_k can be determined by integration by parts and expressed in terms of the Bose-Einstein moments m_k^(BE)=Γ(k+2)* ζ(k+2), k=0,1,2, . . . , by m_k=m_k^(BE)/(k+1). This dataset allows generating an arbitrary number of recurrence coefficients to any desired accuracy.

Researchers should cite this work as follows:

• Walter Gautschi (2017). 32-digit values of the first 100 recurrence coefficients for the half-range Binet weight function. (Version 2.0). Purdue University Research Repository. doi:10.4231/R7PC30HH

  BibTex | EndNote

1. Binet-like weight functions
2. Computer Science
3. Computer Science (Dept)
4. Mathematics
5. Modification algorithms for orthogonal polynomials
6. Orthogonal polynomials
7. Walter Gautschi Archives
8. weight functions

The dataset consists of one text file and four Matlab scripts. This is an updated and improved version.