On the \(Ni(x)\) integral function and its application to the Airy's non-homogeneous equation

DOI10.1016/J.AMC.2011.02.025zbMath1217.33008OpenAlexW2009611166MaRDI QIDQ531660

M. H. Hamdan, M. T. Kamel

Publication date: 19 April 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.025

zbMATH Keywords

Airy's non-homogeneous equationNield-Kuznetsov function

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (2)

Bessel integrals in epsilon expansion: squared spherical Bessel functions averaged with Gaussian power-law distributions ⋮ Large Sophie Germain primes

Cites Work

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• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• The solutions of the differential equation \(v+\lambda^2zv'+3\mu\lambda^2v= 0\)
• Numerical evaluation of Airy functions with complex arguments
• Computation of inhomogeneous Airy functions
• On nonoscillating integrals for computing inhomogeneous Airy functions
• NUMERICAL EVALUATION OF INTEGRALS OF THE FORM Formula AND THE TABULATION OF THE FUNCTION Formula
• NOTES ON THE SOLUTION OF THE EQUATION: y"-xy = f(x)
• On the Asymptotic Forms of the Solutions of Ordinary Linear Differential Equations of the Third Order in a Region Containing a Turning Point

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