32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-|x|)) on [-Inf,Inf] are computed by a moment-based method using the routine sr_binet(dig,32,100), where dig=64 has been determined by the routine dig_binet(100,56,4,32). The respective moments are expressible in terms of the gamma and zeta functions. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for 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 Binet weight function. Purdue University Research Repository. doi:10.4231/R7P55KH7
The dataset consists of one text file and four Matlab scripts.