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,c], c=1/2, a=-1/2, b=1/2, are computed by a 1-component discretization procedure using the routine sr_symm_subrange_jacobi(32,100) with (global) input parameters dig=34, c=1/2, a=-1/2, b=1/2. For details concerning the discretization, see Section 2 in Walter Gautschi, "Sub-range Jacobi polynomials", Numerical algorithms 61 (2012), 649-657. doi: s11075-012-9556-z. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary parameters 0 < 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 symmetric subrange Jacobi polynomials. Purdue University Research Repository. doi:10.4231/R7R20ZB7
The dataset consists of one text file and five Matlab scripts.