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