32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), are computed by a moment-based method using the routine sr_Airy(dig,32,100), where dig=124 has been determined by the routine dig_Airy(100,116,4,32). For the moments, see Exercise 2.33(a) in Walter Gautschi, "Orthogonal polynomials in MATLAB", Software, Environments, and Tools, SIAM, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients to an arbitrary precision.
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Researchers should cite this work as follows:
- Gautschi, W. (2016). 32-digit values of the first 100 recurrence coefficients for an Airy weight function. Purdue University Research Repository. doi:10.4231/R7V122R6