An integral representation for the product of Airy functions
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Publication:1366352
DOI10.1007/PL00001464zbMath0879.33002OpenAlexW1988712833MaRDI QIDQ1366352
Charles de Izarra, Manuel Soares, Olivier Vallée
Publication date: 25 January 1998
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00001464
Related Items (14)
Fractional derivatives of products of Airy functions ⋮ A Pfaffian Representation for Flat ASEP ⋮ 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 ⋮ Unnormalized tomograms and quasidistributions of quantum states ⋮ Two-point generating function of the free energy for a directed polymer in a random medium ⋮ The KPZ equation with flat initial condition and the directed polymer with one free end ⋮ Crossover from droplet to flat initial conditions in the KPZ equation from the replica Bethe ansatz ⋮ Tail of the two-time height distribution for KPZ growth in one dimension ⋮ Differential and integral relations involving fractional derivatives of Airy functions and applications ⋮ Integrals involving products of Airy functions, their derivatives and Bessel functions ⋮ Conservation equations for the semiclassical Schrödinger equation near caustics ⋮ Mellin transform of quartic products of shifted Airy functions ⋮ Integrals containing products of Airy functions and planar photon propagation in a magnetic field ⋮ Some results involving integral transforms of Airy functions
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