In mathematics, the parabolic cylinder functions are special functions defined as solutions to the differential equation This equation is found when the...

coordinates parabolic Möbius transformation Parabolic geometry (disambiguation) Parabolic spiral Parabolic line In advanced mathematics: Parabolic cylinder function...

{2}}}.} Hermite transform Legendre polynomials Mehler kernel Parabolic cylinder function Romanovski polynomials Turán's inequalities Laplace (1811). "Mémoire...

parabolic cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional parabolic coordinate...

Lamé function Mathieu function Mittag-Leffler function Painlevé transcendents Parabolic cylinder function Arithmetic–geometric mean Ackermann function: in...

A parabolic (or paraboloid or paraboloidal) reflector (or dish or mirror) is a reflective surface used to collect or project energy such as light, sound...

gamma function Laguerre polynomials Parabolic cylinder function (or Weber function) Poisson–Charlier function Toronto functions Whittaker functions Mκ,μ(z)...

called a dish antenna or parabolic dish. The main advantage of a parabolic antenna is that it has high directivity. It functions similarly to a searchlight...

functions if ν is not an integer, or linear combinations of Struve functions if ν is an integer Weber–Hermite function is another name for parabolic cylinder...

equations are entire functions. For example, the exponential function, sine, cosine, Airy functions and Parabolic cylinder functions arise in this way....

{\displaystyle DE-2CB=2AD-CE\neq 0,} the function has no maximum or minimum; its graph forms a parabolic cylinder. If 4 A B − E 2 = 0 {\displaystyle 4AB-E^{2}=0}...

z=x^{2}} for b → ∞ {\displaystyle b\rightarrow \infty } , which is a parabolic cylinder (see image). The elliptic paraboloid, parametrized simply as σ → (...

cone, parabolic cylinder, elliptical paraboloid, hyperbolic paraboloid, hyperboloid of one sheet, hyperboloid of two sheets. Elliptic cone Parabolic cylinder...

potential flow around a circular cylinder is a classical solution for the flow of an inviscid, incompressible fluid around a cylinder that is transverse to the...

complex plane, which is parabolic. With two punctures, it is the punctured plane or alternatively annulus or cylinder, which is parabolic. With three or more...

^{2}}}\right)}D_{-2k-1}\left({\frac {|x-\mu |}{\theta }}\right)} , where D is a parabolic cylinder function. As for the Laplace distribution, the pdf of the NEG distribution...

complete solution for S {\displaystyle S} . The Hamiltonian in parabolic cylindrical coordinates can be written H = p σ 2 + p τ 2 2 m ( σ 2 + τ 2 ) +...

In the physical sciences, the Airy function (or Airy function of the first kind) Ai(x) is a special function named after the British astronomer George...

variables technique. cylindrical coordinates spherical coordinates Prolate spheroidal coordinates Oblate spheroidal coordinates Parabolic coordinates Toroidal...

The pupil function or aperture function describes how a light wave is affected upon transmission through an optical imaging system such as a camera, microscope...

Crankshaft oil seal (or rear main seal) Cylinder head Cylinder head cover Other cylinder head cover parts Cylinder head gasket Distributor Distributor cap...

Weierstrass Elliptic and Related Functions Parabolic Cylinder Functions Mathieu Functions Spheroidal Wave Functions Orthogonal Polynomials Bernoulli and...

representation § Harmonic oscillator and Hermite functions Heat kernel Hermite polynomials Parabolic cylinder functions Laguerre polynomials § Hardy–Hille formula...

in a Newtonian context is modelled by the Fourier equation, namely a parabolic partial differential equation of the kind: ∂ θ ∂ t   =   α   ∇ 2 θ , {\displaystyle...

fractal geometry, the parabolic Hausdorff dimension is a restricted version of the genuine Hausdorff dimension. Only parabolic cylinders, i. e. rectangles...

feed antennas (called feed horns) for larger antenna structures such as parabolic antennas, as standard calibration antennas to measure the gain of other...

is heated by energy supplied from outside the engine's interior space (cylinder). As the fluid expands, mechanical work is extracted by a piston, which...

Luneburg lens antenna is comparable to a parabolic dish antenna, but uses the lens rather than a parabolic reflector as the main focusing element. As...

functioning together, just as the old mainland system. Later, transmitter up grade and more sites will be added to the system.   Instead of parabolic...

concentrate sunlight onto a long pipe may be a circular cylinder or of a parabolic cylinder. The most common structural material for mirrors is glass...