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