Eigenfunctions of the Airy's integral transform: Properties, numerical computations and asymptotic behaviors

DOI10.1016/j.jmaa.2011.12.036zbMath1243.65160OpenAlexW2073193945MaRDI QIDQ764943

Issam Mehrzi, Abderrazek Karoui, Taher Moumni

Publication date: 16 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.12.036

zbMATH Keywords

numerical examplesspectrumintegral operatorWKB methodasymptotic behaviorsAiry's functionAiry's integral transformeigenfunctions and eigenvaluesGaussian quadrature method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Eigenvalue problems for integral equations (45C05)

Related Items (3)

Solution of the energy concentration problem and application ⋮ A generalization of the prolate spheroidal wave functions with applications to sampling ⋮ On the evaluation of the eigendecomposition of the Airy integral operator

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