Macdonald's identities and integral representations of products of Airy functions

DOI10.1080/10652469.2020.1737529zbMath1448.33006OpenAlexW3011064410MaRDI QIDQ5121003

Alireza Ansari, Shiva Eshaghi

Publication date: 16 September 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2020.1737529

zbMATH Keywords

Laplace transformBessel functionsAiry functionMacdonald's identities

Mathematics Subject Classification ID

Laplace transform (44A10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (7)

Some integral representations for the Faxén function ⋮ Lebedev identities and integral representations of products of Hermite functions ⋮ Logarithmic functions are eigenfunctions of integral operators with \(M\)-Wright kernels ⋮ Mellin transform of shifted Airy functions and of their products ⋮ Integral representations for products of Airy functions and their application for analysis of the Green’s function for a particle in a uniform static field ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\) ⋮ Lipschitz–Hankel identities and integral representations of toroidal functions

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