Results 21 to 30 of about 11,942,050 (297)
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. The author also studied certain properties of the Airy transform and
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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
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Twin-Airy Point-Spread Function for Extended-Volume Particle Localization.
Physical Review Letters, 2020 The localization of point sources in optical microscopy enables nm-precision imaging of single-molecules and biological dynamics. We report a new method of localization microscopy using twin Airy beams that yields precise 3D localization with the key ...
Yongzhuang Zhou +4 more
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Form-finding of shells containing both tension and compression using the Airy stress function
International Journal of Space Structures, 2020 Pure-compression shells have been the central topic in the form-finding of shells. This study investigated tension-compression mixed-type shells by utilizing a NURBS-based isogeometric form-finding approach that analyses Airy stress functions to expand ...
M. Miki +5 more
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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
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The Generating Function for the Airy Point Process and a System of Coupled Painlevé II Equations [PDF]
, 2017 For a wide class of Hermitian random matrices, the limit distribution of the eigenvalues close to the largest one is governed by the Airy point process. In such ensembles, the limit distribution of the kth largest eigenvalue is given in terms of the Airy
T. Claeys, Antoine Doeraene
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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
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A remark on the matrix Airy function [PDF]
Theoretical and Mathematical Physics, 2000 An integral representation for matrix Airy function is ...
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Airy function - exact WKB results for potentials of odd degree [PDF]
, 1998 An exact WKB (Wentzel-Kramers-Brillouin) treatment of 1D homogeneous Schrodinger operators (with the confining potentials , N even) is extended to odd degrees N. The resulting formalism is first illustrated theoretically and numerically upon the spectrum
A. Voros
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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
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