Some results involving integral transforms of Airy functions

DOI10.1080/10652469.2015.1025072zbMath1328.44001OpenAlexW1997576447MaRDI QIDQ5262272

Alireza Ansari, Mohammad Rasool Masomi

Publication date: 13 July 2015

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

Full work available at URL: https://doi.org/10.1080/10652469.2015.1025072

zbMATH Keywords

Laplace transformStieltjes transformHankel transformHilbert transformBessel functionAiry functions

Mathematics Subject Classification ID

Laplace transform (44A10) Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (11)

Some integral representations for the Faxén function ⋮ Airy functions and Riesz fractional trigonometric operators ⋮ Lebedev identities and integral representations of products of Hermite functions ⋮ Some integral identities for products of Airy functions using integral transforms ⋮ 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 ⋮ On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\) ⋮ Integral representations of products of airy functions related to fractional calculus ⋮ Mellin transform of quartic products of shifted Airy functions ⋮ Lipschitz–Hankel identities and integral representations of toroidal functions

Uses Software

• DLMF

Cites Work

• Identities for the exponential integral and the complementary error transforms
• Integral representations for products of Airy functions. III: Quartic products
• An integral representation for the product of Airy functions
• The inverse Laplace transform of some analytic functions with an application to the eternal solutions of the Boltzmann equation
• New identities for the Wright and the Mittag-Leffler functions using the Laplace transform
• Multidimensional solutions of time-fractional diffusion-wave equations

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