sciences, the Airy function (or Airy function of the first kind) Ai(x) is a special function named after the British astronomer George Biddell Airy (1801–1892)...

the Airy zeta function, studied by Crandall (1996), is a function analogous to the Riemann zeta function and related to the zeros of the Airy function. The...

{1}{n^{s}}}.} Zeta functions include: Airy zeta function, related to the zeros of the Airy function Arakawa–Kaneko zeta function Arithmetic zeta function Artin–Mazur...

Synchrotron function Riemann zeta function: A special case of Dirichlet series. Riemann Xi function Dirichlet eta function: An allied function. Dirichlet...

Airy functions Ai(x) and Bi(x) Airy points. Airy stress functions Airy transform Airy wave theory. Airy zeta function Airy–Heiskanen model, see "Airy hypothesis"...

Abel: Abel polynomials - Abelian function - Abel–Gontscharoff interpolating polynomial Sir George Biddell Airy: Airy function Waleed Al-Salam (1926–1996):...

{1}{2\pi i}}\oint _{\partial D}{\frac {f(\zeta )\,d\zeta }{\zeta -z}},\quad z\in D} for all holomorphic functions f in D that are continuous on the closure...

} . Evaluations of the digamma function at rational values. The Laurent series expansion for the Riemann zeta function*, where it is the first of the...

A_{s}} ("Airy kernel") on square integrable functions on the half line ( s , ∞ ) {\displaystyle (s,\infty )} , given in terms of Airy functions Ai by A...

waves over mildly sloping beds, the shape function f ( z ) {\displaystyle f(z)} is chosen according to Airy wave theory. This is the linear theory of...

{Q^{2}}{\zeta ^{2}}}+{\tfrac {1}{3}}\,\zeta \,Q\,u_{b}''+\cdots ,\\u_{b}'&=-{\frac {Q}{\zeta }}\,\zeta '+{\tfrac {1}{3}}\,\zeta \,\zeta '\,u_{b}''+{\tfrac...

probability 1/ζ(k) as n goes to infinity, where ζ refers to the Riemann zeta function. (See coprime for a derivation.) This result was extended in 1987 to...

symmetry y → ζ 3 y {\displaystyle y\to \zeta ^{3}y} , t → ζ t {\displaystyle t\to \zeta t} where ζ {\displaystyle \zeta } is a fifth root of 1. There are two...

standard imaging systems. Zeta Bootis imaged with the Nordic Optical Telescope on 13 May 2000 using the lucky imaging method. (The Airy discs around the stars...

a plane wave incident on a circular aperture is often referred to as the Airy disk. The variation in intensity with angle is given by I ( θ ) = I 0 ( 2...

variables. The skew elliptical distribution The Yule–Simon distribution The zeta distribution has uses in applied statistics and statistical mechanics, and...

as stars), which in the absence of atmospheric turbulence would be steady Airy patterns produced by diffraction, to break up into speckle patterns, which...

with an accompanying table) List of zeta functions A differential equation is an equation involving an unknown function and its derivatives. In a dynamical...

{\displaystyle H} ), and this phase speed c {\displaystyle c} the same as for Airy's linear waves in deep water. The free surface is a line of constant pressure...

ψ + i λ {\displaystyle \zeta =\psi +i\lambda } in the complex plane, then any analytic function f ( ζ ) {\displaystyle f(\zeta )} will define another conformal...

Harold M. Edwards for mathematical exposition in his books Riemann's zeta function, Pure and Applied Mathematics, number 58, Academic Press, New York and...

fully determined and can be recreated by the following function where ζ {\displaystyle \zeta } is the wave elevation, ϵ j {\displaystyle \epsilon _{j}}...

Dolan, Graham. "Airy's Water Telescope (1870)". The Royal Observatory Greenwich. Retrieved 20 November 2018. Hollis, H. P. (1937). "Airy's water telescope"...

1840s, the Copley Medal had achieved international prestige; in 1850, George Airy noted the distinction of the medal was that it was "offered to the competition...

pattern/action language, is taken from Aho George Biddell Airy, English mathematician and astronomer - Airy disk Ajax, Greek mythological character – Ajax Amsterdam...

John Edensor Littlewood (1885–1977), mathematician; Fourier Series, Zeta Function, Rouse Ball Professor of Mathematics in Cambridge Edward Arthur Milne...