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Higher Derivatives of Airy Functions and of their Products [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 The problem of evaluation of higher derivatives of Airy functions in a closed form is investigated. General expressions for the polynomials which have arisen in explicit formulae for these derivatives are given in terms of particular values of Gegenbauer
Abramochkin, Eugeny G. +1 more
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A continuum description of the buckling of a line of spheres in a transverse harmonic confining potential [PDF]
Royal Society Open Science, 2023 A line of contacting hard spheres, placed in a transverse confining potential, buckles under compression or when tilted away from the horizontal, once a critical tilt angle is exceeded.
S. Hutzler +3 more
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Airy functions over local fields
Letters in Mathematical Physics, 2009 Airy integrals are very classical but in recent years they have been generalized to higher dimensions and these generalizations have proved to be very useful in studying the topology of the moduli spaces of curves.
David Weisbart +6 more
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Trajectory analysis of phase effects associated with truncated Airy beams [PDF]
EPJ Web of Conferences, 2023 Airy wave packets constitute a very peculiar type of structured light: during their propagation, their transverse profile undergoes a self-accelerating displacement while it remains shape invariant.
Sanz Ángel S. +1 more
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Implementation of Airy function using Graphics Processing Unit (GPU) [PDF]
ITM Web of Conferences, 2020 Special mathematical functions are an integral part of Fractional Calculus, one of them is the Airy function. But it’s a gruelling task for the processor as well as system that is constructed around the function when it comes to evaluating the special ...
Keluskar Yugesh C. +3 more
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Nondiffracting gravitational waves
European Physical Journal C: Particles and Fields, 2021 It is proved that accelerating nondiffracting gravitational Airy wave-packets are solutions of linearized gravity. It is also showed that Airy functions are exact solutions to Einstein equations for non-accelerating nondiffracting gravitational wave ...
Felipe A. Asenjo, Sergio A. Hojman
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On a new linear operator formulated by Airy functions in the open unit disk
Advances in Difference Equations, 2021 In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is
Rabha W. Ibrahim, Dumitru Baleanu
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Exact solutions of an exponential type position dependent mass problem
Results in Physics, 2022 The Schrödinger equation under the application of a position-dependent mass (PDM) with an exponential form is presented. Several physical models are carried out by choosing different external potential fields including the free field or a confined hard ...
Shi-Hai Dong +3 more
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Stationary Phase Method in Discrete Wigner Functions and Classical Simulation of Quantum Circuits [PDF]
Quantum, 2021 One of the lowest-order corrections to Gaussian quantum mechanics in infinite-dimensional Hilbert spaces are Airy functions: a uniformization of the stationary phase method applied in the path integral perspective.
Lucas Kocia, Peter Love
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Geometric Study of 2D-Wave Equations in View of K-Symbol Airy Functions
Axioms, 2022 The notion of k-symbol special functions has recently been introduced. This new concept offers many interesting geometric properties for these special functions including logarithmic convexity.
Samir B. Hadid, Rabha W. Ibrahim
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