Computing Complex Airy Functions by Numerical Quadrature

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...

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Bibliographic Details

Published in:	Numerical algorithms Vol. 30; no. 1; pp. 11 - 23
Main Authors:	Gil, Amparo, Segura, Javier, Temme, Nico M.
Format:	Journal Article
Language:	English
Published:	New York Springer Nature B.V 01.05.2002
Subjects:	Airy function Algorithms Bessel functions Computation Differential equations Quadratures Representations
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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