32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=log^2(1-a*exp(-x)) on [0,Inf], a = 1/2, are computed by a moment-based method using the routine sr_hrsqgbinet(dig,32,100,1/2), where dig=124 has been determined by the routine dig_hrsqgbinet(100,1/2,116,4,32). For the respective moments, see W. Gautschi and G.V. Milovanović, "Binet-type polynomials and their zeros", Electron. Trans. Numer. Anal., to appear. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for any parameter a, 0 < a < 1, to any precision.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for the half-range squared generalized Binet weight function with parameter 1/2. Purdue University Research Repository. doi:10.4231/R7FT8J7R
The dataset consists of one text file and four Matlab scripts.