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=1, are computed by a moment-based method using the routine sr_Enufin(dig,32,100,1), where dig=180 has been determined by the routine dig_Enufin(100,1,1,172,4,32). For the moments, see Exercise 17(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.
Cite this work
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 [0,1]. Purdue University Research Repository. doi:10.4231/R79021RG
The dataset consists of one text file and seven Matlab scripts.