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Everything about Airy function
Special function in the physical sciences
In mathematics, the Airy function is a special function named after the British astronomer George Biddell Airy. The function and the related function are linearly independent solutions to the differential equation known as the Airy equation or the Stokes equation. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Airy functionA 5-minute orientation
- Skim a recent paper: Airy Beam Multifunctional Terahertz MetasurfaceInfluential work since 2022
- Pick up a classic book: Tables of Airy functions and special confluent hypergeometric functions for asymptotic solutions of differential equations of the second orderThe most-reprinted book on the subject
- Read the landmark paper: Airy complex variable function Gaussian beamsCited 50 times
- Go sideways: Confluent hypergeometric functionA closely related topic
- Go sideways: Bessel functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Airy complex variable function Gaussian beams
Twin-Airy Point-Spread Function for Extended-Volume Particle Localization
Wigner distribution function of an Airy beam
Airy function - exact WKB results for potentials of odd degree
Zeros of Airy Function and Relaxation Process
Airy-coordinate Green’s-function technique for high-field transport in semiconductors
Seismic capacity of purely compressed shells based on Airy stress function
Airy function and 4d quantum gravity
🆕 Influential since 2022
Airy Beam Multifunctional Terahertz Metasurface
Form-finding of shells containing both tension and compression using the Airy stress function
Reduction of PAPR in OTFS signal using airy special function
Generation of the Airy beam based on the truncated asymptotic expression of the Airy function using a transmissive metasurface
Isogeometric form finding of membrane shells by optimised Airy stress function
📚 Books worth reading
Tables of Airy functions and special confluent hypergeometric functions for asymptotic solutions of differential equations of the second orderA. D. Smirnov · 1960
Airy functions and applications to physicsOlivier Vallée, Olivier Vallee · 2004
The Stokes phenomenon and Hilbert's 16th problemGeertrui K. Immink, Marius van der Put · 1996
Wave PhenomenaDudley H. Towne · 1967- 📕Tablit͡sy funkt͡sii Ėĭri i ikh proizvodnykhG. D. I͡Akovleva · 1969
- 📕Tables of generalized airy functions for the asymptotic solution of the differential equations [epsilon](pyʹ)ʹ₊(q₊[epsilon]r)y=fL. N. Nosova · 1965
- 📕Numerical evaluation of the incomplete airy functions and their application to high frequency scattering and diffractionE. D. Constantinides · 1992
- 📕Tablitsy funktsiĭ Ėĭri i ikh proizvodnykhGalina Dmitrievna IAkovleva · 1969
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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