32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=1/gamma(x) on [0,Inf] are computed by a multicomponent discretization procedure using the routine sr_recgamma(dig,100), where dig=36 has been determined by the routine dig_recgamma(100,32,4,32). The results are in complete agreement to all twenty digits of the first 40 recurrence coefficients given in Table 1 of Walter Gautschi, "Polynomials orthogonal with respect to the reciprocal gamma function", BIT 22 (1982), 387-389, doi: 10.1007/BF01934452. 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. (2016). 32-digit values of the first 100 recurrence coefficients for the reciprocal gamma weight function. Purdue University Research Repository. doi:10.4231/R7S180GF

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

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