Airy function - Wikipedia
The Airy function underlies the form of the intensity near an optical directional caustic, such as that of the rainbow (called supernumerary rainbow). Historically, this was the mathematical problem that led Airy to develop this special function.
艾里函数 - 维基百科，自由的百科全书
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, （页面存档备份，存于互联网档案馆）. National Bureau of Standards . Airy (1838).
physical phenomena and includes, besides the Airy disk, the Airy spiral, an optical phenomenon visible on quartz crystals, and the Airy stress function in elasticity.
艾里函数 - 百度百科
英文名 airy function。英国英格兰天文学家、数学家乔治·比德尔·艾里命名的特殊函数，他在1838年研究光学的时候遇到了这个函数。Ai(x)的记法是Harold Jeffreys引进的。Ai(x)与相关函数Bi(x)（也称为艾里函数）
Here we establish basic properties of such functions, particularly Ai ( z ) amd A § ( z ), and also results on various quotients of these functions and their derivatives.
Airy Functions Demystified — III | Resonance - Springer
2022年12月22日 · Airy and Bessel functions are one of the most popular and important special functions in various branches of physics, mathematics, and engineering. An observation to their behavior for the real argument suggest that they are related.
DLMF: §9.10 Integrals ‣ Airy Functions ‣ Chapter 9 Airy and …
Ai (z): Airy function, Gi (z): Scorer function (inhomogeneous Airy function), π: the ratio of the circumference of a circle to its diameter, d x: differential of x, ∫: integral and z: complex variable
DLMF: §9.11 Products ‣ Airy Functions ‣ Chapter 9 Airy and …
Ai (z): Airy function, Bi (z): Airy function, π: the ratio of the circumference of a circle to its diameter, d x: differential of x, exp z: exponential function, ∫: integral and z: complex variable
Airy Functions -- from Wolfram MathWorld
6 天之前 · Airy functions commonly appear in physics, especially in optics, quantum mechanics, electromagnetics, and radiative transfer. Ai(z) and Bi(z) are entire functions. A generalization of the Airy function was constructed by Hardy.
DLMF: Chapter 9 Airy and Related Functions - NIST
Chapter 9 Airy and Related Functions F. W. J. Olver Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland. Acknowledgements:
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