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Open Raman Microscopy (ORM): A Modular Hardware and Software Framework for Accessible Raman Imaging

Uning KT, Brisebois H, Horgan CC, Jensen M, Yuan Y, Liu S, Stepula E, Vanuytsel S, Kumar V, Goldrick S, Knight RD, Hedegaard MAB, Albro MB, Bergholt MS, Thomas MR.   +14 more
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Generalized Airy Stress Functions

Meccanica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fosdick, Roger, Schuler, Karl
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Transformations of Airy Functions

2010
exaly   +2 more sources

Transformations of Airy Functions

2004
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Airy's Functions in Nonlocal Elasticity

Journal of Computational and Theoretical Nanoscience, 2011
Nanostructured devices and materials, such as carbon nanotubes, Atomic Force Microscope, MEMS, etc. attract increasing attention in the scientific world. It has been realized that the classical elasticity is not capable to capture the mechanical behavior of them precisely.
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On an Airy function of two variables

Nonlinear Analysis: Theory, Methods & Applications, 2003
The author discusses the Pearcey integral \(\int_C \exp( -t^4/4 + x t^2/2 + yt ) \, dt\) with \(C\) going from \(\infty\exp(2\pi i j/4)\) to \(\infty\exp(2\pi i k/4)\); in particular asymptotic expansions as \(y\to\infty\), uniformly in \(x\) as long as \(x=O(y^{2/3})\), or, for a more explicit asymptotic, \(x=O(1)\).
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The Airy Function is a Fredholm Determinant

Journal of Dynamics and Differential Equations, 2015
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Bessel and Airy Functions

2021
Topics of this chapter are Bessel and Airy functions and related functions. Airy functions and its first derivatives, its phase and modulus, and the scorer functions Hi and Gi and its derivatives are discussed. In dependence of their function argument various computational techniques will be used, e.g., series expansions or path integration techniques ...
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Locating and Computing Zeros of Airy Functions

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996
Summary: We deal with the localization and computation of the zeros of the Airy functions \(Ai(z)\), \(Bi(z)\) and their derivatives \(Ai'(z)\), \(Bi'(z)\). To this end a new algorithm is presented employing the notion of the topological degree of a continuous mapping for the localization portion. For the rootfinding part we describe an algorithm based
Vrahatis, M. N., Ragos, O., Zafiropoulos, F. A., Grapsa, T. N.   +3 more
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