32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^a*exp(-x)*log(1+1/x) on [0,Inf], a=1/2, are computed by a 2-component discretization method using the routine sr_explogalg1half0inf(32), where dig=48 has to be entered when prompted by the routine. The value 48 of dig has been determined by the routine dig_alg1halfexplog(32,4,32). The software provided in this dataset allows generating any number N <= 65 of recurrence coefficients for any noninteger a > -1, as well as for different precisions.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2017). 32-digit values of the first 65 recurrence coefficients for the Krylov-Pal'tsev weight function on [0,Inf] with exponent 1/2. Purdue University Research Repository. doi:10.4231/R7KH0KBM
The dataset consists of three text files and eight Matlab scripts.