32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=exp(-exp(x)) on [0,Inf] are computed by a 4-component discretization procedure using the routine sr_hypexp(nofdig,N), with nofdig=32, N=100, and dig=36 entered when prompted. The value dig=36 has been determined by the routine dig_shypexp(100,34,2,32) (which may take as long as an hour to run). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for different precisions.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for a half-range hyperexponential weight function. Purdue University Research Repository. doi:10.4231/R7JQ0Z1W

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1. Computer Science
2. Mathematics
3. Modification algorithms for orthogonal polynomials
4. Orthogonal polynomials
5. Walter Gautschi Archives
6. weight functions

The dataset consists of one text file and seven Matlab scripts.