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32-digit values of the first 100 recurrence coefficients for an Airy weight function

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By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the (normalized) 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), where Ai is the Airy function

Version 1.0 - published on 19 Oct 2016 doi:10.4231/R7V122R6 - cite this Archived on 13 Dec 2016

Licensed under Attribution 3.0 Unported

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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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