Mellin transform of quartic products of shifted Airy functions

DOI10.1080/10652469.2016.1153638zbMath1347.33012arXiv1512.08436OpenAlexW2256628224MaRDI QIDQ2812126

Eugeny G. Abramochkin, Evgeniya V. Razueva

Publication date: 16 June 2016

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

Full work available at URL: https://arxiv.org/abs/1512.08436

zbMATH Keywords

Mellin transformGauss hypergeometric functionAiry functionsLaurenzi integral

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Mellin transform of shifted Airy functions and of their products

Cites Work

• Unnamed Item
• Moment integrals of powers of Airy functions
• Integral representations for products of Airy functions. II: Cubic products
• Integral representations for products of Airy functions. III: Quartic products
• An integral representation for the product of Airy functions
• A generalization of Kummer's identity.
• Integrals containing products of Airy functions and planar photon propagation in a magnetic field
• Phase-space projection identities for diffraction catastrophes
• Some results involving integral transforms of Airy functions
• Raman and the mirage revisited: confusions and a rediscovery

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