Numerical evaluation of Airy functions with complex arguments

DOI10.1016/0021-9991(92)90279-8zbMath0758.65010OpenAlexW2075497840MaRDI QIDQ1184603

S. Singh

Publication date: 28 June 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90279-8

zbMATH Keywords

algorithmasymptotic expansionTaylor series expansionAiry functions of complex argument

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (4)

On nonoscillating integrals for computing inhomogeneous Airy functions ⋮ Electrohydrodynamic instability of two superposed fluids in normal electric fields ⋮ On the \(Ni(x)\) integral function and its application to the Airy's non-homogeneous equation ⋮ Symbolic and numerical computation on Bessel functions of complex argument and large magnitude

Cites Work

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• An algorithm for the evaluation of the complex Airy functions
• Shear-flow instability at the interface between two viscous fluids
• Shear-flow instability due to a wall and a viscosity discontinuity at the interface
• Error Bounds for Linear Recurrence Relations
• Computational Aspects of Three-Term Recurrence Relations
• Recursive computation of certain derivatives&a study of error propagation

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