Some integral identities for products of Airy functions using integral transforms

DOI10.1142/S1793557118500468zbMath1391.33013OpenAlexW2608614483MaRDI QIDQ4565149

Alireza Ansari, Mohammad Rasool Masomi

Publication date: 8 June 2018

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557118500468

zbMATH Keywords

Legendre functionsAiry functionsFourier sine and cosine transformsWidder potential transformThomson functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Logarithmic functions are eigenfunctions of integral operators with \(M\)-Wright kernels ⋮ Wiener-Hopf technique for a fractional mixed boundary value problem in cylindrical layer ⋮ Macdonald's identities and integral representations of products of Airy functions

Uses Software

• DLMF

Cites Work

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• A note on the Widder transform related to the Poisson integral for a half‐plane†
• Some results involving integral transforms of Airy functions

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