32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=(1-x^2)^(λ-1/2)*exp(-a*x^2) on [-1,1], λ=8, a=8, are computed by a 1-component discretization procedure. The routine [ab,dig]=dig_sgegexp(100,34,2,32), using sgegexp.m, determines the number dig=36 of working digits needed and returns the recurrence coefficients to 32 digits in the Nx2 array ab. The routine ab=sr_gegexp(nofdig,N) evaluates in dig-digit arithmetic directly the first N recurrence coefficients, returning them in the array ab. The values of dig, lam, a must be entered when prompted by the routine.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=8 multiplied by an exponential function with coefficient a=8. Purdue University Research Repository. doi:10.4231/R70R9MC1
The dataset consists of one text file and seven Matlab scripts.