Description
32-digit values of the first 64 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [1,Inf], a=1, are computed by a 1-component discretization method using the routine sr_explog_inf(32,64), where dig=48 and a=1 have to be entered when prompted by the routine. The value 48 of dig has been determined by the routine dig_explog_inf(64,32,4,32) where a = 1 has to be entered when prompted. The software provided in this dataset allows generating any number N <= 65-ceil(a/2) of recurrence coefficients for any nonnegative integer a and for any precision of less than, or equal, 32 digits.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2017). 32-digit values of the first 64 recurrence coefficients for the weight function w(x)=x*exp(-x)*log(1+1/x) on [1,Inf]. Purdue University Research Repository. doi:10.4231/R7MS3QRV
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Notes
The dataset consists of two text files and eight Matlab scripts.