32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=E_nu(x) on (0,c], nu=1, c=16, are computed by a moment-based method using the routine sr_Enufin(dig,32,100,16), where dig=180 has been determined by the routine dig_Enufin(100,1,16,172,4,32). For the moments, see Exercise 2.26(c) in Walter Gautschi, "Orthogonal polynomials: exercises and solutions", Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary nu > 0 and c > 0, as well as for different precisions.

Researchers should cite this work as follows:

• Gautschi, W. (2016). 32-digit values of the first 100 recurrence coefficients for the finite-range exponential integral weight function on [0,16]. Purdue University Research Repository. doi:10.4231/R7WS8R7X

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

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