Description
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-x)) on [c,Inf], c=1, are computed by a moment-based method using the routine sr_usrbinet(dig,100,1,32), where dig=128 has been determined by the routine dig_usrbinet(100,1,120,4,32). The routines in this dataset allow generating the first N recurrence coefficients for any N and to any accuracy, also for upper subrange polynomials orthogonal on [c,Inf] for any 0 < c < Inf.
Cite this work
Researchers should cite this work as follows:
- Walter Gautschi (2017). 32-digit values of the first 100 recurrence coefficients for an upper subrange Binet weight function. (Version 2.0). Purdue University Research Repository. doi:10.4231/R7JM27SS
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Notes
The dataset consists of one text file and four Matlab scripts. This is an updated and improved version.