Results 11 to 20 of about 9,728 (266)
Airy function and 4d quantum gravity [PDF]
Journal of High Energy Physics, 2018 We study four-dimensional quantum gravity with negative cosmological constant in the minisuperspace approximation and compute the partition function for the S 3 boundary geometry.
Paweł Caputa, Shinji Hirano
doaj +3 more sources
Some Results Involving the Airy Functions and Airy Transforms
Tatra Mountains Mathematical Publications, 2021 Abstract In the present work, the author studied some properties of the modified Bessel’s functions and Airy functions. It is worth mentioning that the Airy functions are used in many fields of physics. They are applied in many branches of classical and quantum physics.
openaire +2 more sources
Asymptotic formulae for the Lommel and Bessel functions and their derivatives [PDF]
Royal Society Open Science, 2014 We derive new approximate representations of the Lommel functions in terms of the Scorer function and approximate representations of the first derivative of the Lommel functions in terms of the derivative of the Scorer function. Using the same method, we
N. I. Aleksandrova
doaj +1 more source
Journal of Materials and Engineering Structures, 2021 Many structural analysis problems in civil engineering and mechanical engineering can be treated as plane stress and plane strain problems introduced in the theory of elasticity.
Luu Xuan LE +5 more
doaj
Changing the trajectory of Airy beam sets with spatial carriers
Компьютерная оптика, 2022 In this paper, we study a change in the propagation trajectory of a set of autofocusing laser beams using a fractional Fourier transform. Clusters of displaced bounded Airy-Gaussian beams supplemented by a phase function that deflects the beam similarly ...
A.O. Frolov, А.V. Ustinov, S.N. Khonina
doaj +1 more source
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
doaj +1 more source
A remark on the matrix Airy function [PDF]
Theoretical and Mathematical Physics, 2000 An integral representation for matrix Airy function is ...
openaire +4 more sources
Fluorescent Microspheres as Point Sources: A Localization Study. [PDF]
PLoS ONE, 2015 The localization of fluorescent microspheres is often employed for drift correction and image registration in single molecule microscopy, and is commonly carried out by fitting a point spread function to the image of the given microsphere.
Jerry Chao +3 more
doaj +1 more source
T T ¯ $$ T\overline{T} $$ -deformed free energy of the Airy model
Journal of High Energy Physics, 2022 Sharpening the correspondence of Jackiw-Teitelboim (JT) gravity and its dual matrix model description at a finite radial cutoff λ through the T T ¯ $$ T\overline{T} $$ deformation is of interest.
Stephen Ebert, Hao-Yu Sun, Zhengdi Sun
doaj +1 more source
Applied and Computational Harmonic AnalysisIt is well known that phase function methods allow for the numerical solution of a large class of oscillatory second order linear ordinary differential equations in time independent of frequency. Unfortunately, these methods break down in the commonly-occurring case in which the equation has turning points.
Richard Chow, James Bremer
openaire +2 more sources