32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-a(x-x0)^{^2}) on [0,Inf], a=1/2, x0=-1, are computed by making use of the relations α_k=x0+a_k/√ a, k=0,1,2, . . . , β_0=b_0/√ a, β_k=b_k/a, k=1,2, . . . , where a_k, b_k are the recurrence coefficients for the upper subrange Hermite weight function on [c,Inf], c=-x_0*√a, cf. datasets 10.4231/R7028PHC and 10.4231/R7NP22FV.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for a Gaussian weight function with parameters 1/2 and -1. Purdue University Research Repository. doi:10.4231/R7D50JZ8

  BibTex | EndNote

1. Computer Science
2. gaussian weight function
3. Mathematics
4. Modification algorithms for orthogonal polynomials
5. Orthogonal polynomials
6. Variable-precision computation
7. Walter Gautschi Archives
8. weight functions

The dataset consists of text file and three Matlab script.