Bessel differential equation

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• Differential equation — Not to be confused with Difference equation. Visualization of heat transfer in a pump casing, created by solving the heat equation. Heat is being generated internally in the casing and being cooled at the boundary, providing a steady state… …   Wikipedia

• Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the …   Wikipedia

• Bessel-Funktion — Die Besselsche Differentialgleichung . ist eine lineare gewöhnliche Differentialgleichung zweiter Ordnung. Dabei ist n meistens eine ganze Zahl. Sie ist benannt nach Friedrich Wilhelm Bessel. Inhaltsverzeichnis 1 Bessel Funktionen 1.1 …   Deutsch Wikipedia

• Bessel-Funktionen — Die Besselsche Differentialgleichung . ist eine lineare gewöhnliche Differentialgleichung zweiter Ordnung. Dabei ist n meistens eine ganze Zahl. Sie ist benannt nach Friedrich Wilhelm Bessel. Inhaltsverzeichnis 1 Bessel Funktionen 1.1 …   Deutsch Wikipedia

• Bessel DGL — Die Besselsche Differentialgleichung . ist eine lineare gewöhnliche Differentialgleichung zweiter Ordnung. Dabei ist n meistens eine ganze Zahl. Sie ist benannt nach Friedrich Wilhelm Bessel. Inhaltsverzeichnis 1 Bessel Funktionen 1.1 …   Deutsch Wikipedia

• Bessel-Clifford function — In mathematical analysis, the Bessel Clifford function is an entire function of two complex variables which can be used to provide an alternative development of the theory of Bessel functions. If :pi(x) = frac{1}{Pi(x)} = frac{1}{Gamma(x+1)}is… …   Wikipedia

• Bessel function — Math. one of several transcendental functions, usually represented as power series, that are solutions to a group of related differential equations. [1870 75; named after F. W. BESSEL] * * * ▪ mathematics also called  Cylinder Function,  … …   Universalium

• Bessel polynomials — In mathematics, the Bessel polynomials are an orthogonal sequence of polynomials. There are a number of different but closely related definitions. The definition favored by mathematicians is given by the series (Krall Fink, 1948):y n(x)=sum… …   Wikipedia

• Bessel beam — A Bessel beam is a field of electromagnetic radiation whose amplitude is described by a Bessel function. A true Bessel beam is non diffractive. This means that as it propagates, it does not diffract and spread out; this is in contrast to the… …   Wikipedia

• Bessel function — noun Any of a class of functions that are solutions to a particular form of differential equation (a Bessel equation) and are typically used to describe waves in a cylindrically symmetric system. Syn: cylinder function See Also: Bessel function… …   Wiktionary

• bessel function — ˈbesəl noun Usage: usually capitalized B Etymology: after Friedrich W. Bessel died 1846 Prussian astronomer : one of a class of transcendental functions expressible as infinite series and occurring in the solution of the differential equation x²… …   Useful english dictionary