Computing Complex Airy Functions by Numerical Quadrature

Abstract

Integral representations are considered of solutions of the Airy differential equation w ′′−zw=0 for computing Airy functions for complex values of z. In a first method contour integral representations of the Airy functions are written as non-oscillating integrals for obtaining stable representations, which are evaluated by the trapezoidal rule. In a second… (More)
DOI: 10.1023/A:1015636825525

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