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.

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

  BibTex | EndNote

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 four Matlab scripts.