32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=const*x^d*exp(-b/x^a-c*x^a) on [0,Inf], const=exp(1)/√2*π, a=1, b=c=1/2,d=-3/2, are computed by a moment-based method using the routine sr_exp_abcd(dig,32,100,1,1/2,1/2,-3/2), where dig=120 has been determined by the routine dig_exp_abcd(100,1,1/2,1/2,-3/2,112,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary a > 0, b > 0, c > 0, d real, as well as for different precisions.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 1, 1/2, 1/2, -3/2. Purdue University Research Repository. doi:10.4231/R7W66HSK

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Mathematics
4. Modification algorithms for orthogonal polynomials
5. moment-based method
6. Orthogonal polynomials
7. Walter Gautschi Archives
8. weight functions

The dataset contains a text file and four Matlab routines.