32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a* (1-x^c)^b on [0,1], a = 1/2, b = 3/4, c = 1/4, are computed by a moment-based method using the routine sr_alg(dig,32,100,1/2,3/4,1/4), where dig=180 has been determined by the routine dig_alg(100,1/2,3/4,1/4,172,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a > -1/2, b > -1/2, 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 weight function w(x)=x^(1/2)*(1-x^(1/4))^(3/4) on [0,1]. Purdue University Research Repository. doi:10.4231/R7JD4TR2
The dataset consists of one text file and four Matlab scripts.