32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=(1-x)^a*(1+x)^b on [c,1], c=0, a=-1/2, b=1/2, are computed by a 2-component discretization procedure using the routine sr_upper_subrange_jacobi(32,100) with (global) input parameters dig=34, c=0, a=-1/2, b=1/2. The procedure is analogous to the one for lower subrange Jacobi polynomials, described in Section 2 of Walter Gautschi, "Sub-range Jacobi polynomials", Numerical algorithms 61 (2012), 649-657. doi: 10.1007/s11075-012-9556-z. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary parameters -1 < c < 1, a > - 1, b > -1 and 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 upper subrange Jacobi polynomials. Purdue University Research Repository. doi:10.4231/R7VT1Q2N
The dataset consists of one text file and eight Matlab scripts.