## 28-digit values of the recursion coefficients relative to the Airy weight function w(x)= frac{2^{2/3}pi}{3^{5/6}Gamma(2/3)} *x^{-2/3}exp(-x)Ai((3x/2)^{2/3}) on [0,infty]

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Purdue University

28-digit values of the recursion coefficients for orthogonal polynomials relative to the Airy weight function w(x)= frac{2^{2/3}pi}{3^{5/6}Gamma(2/3)} *x^{-2/3}exp(-x)Ai((3x/2)^{2/3}) on [0,infty]

Version 1.0 - published on 21 Mar 2014 doi:10.4231/R7QN64N5 - cite this Archived on 25 Oct 2016

 The first 40 recursion coefficients for the Airy weight function are obtained to 28 decimal digits by a discretization procedure described in Sec. 4.2 of Walter Gautschi, &quot;Computation of Bessel and Airy functions and of related Gaussian quadrature formulae&quot;, BIT 42 (2002), 110-118.