- Bessel series
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English-russian dictionary of physics. 2013.
Bessel series
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Fourier–Bessel series — In mathematics, Fourier–Bessel series are a particular kind of infinite series expansion on a finite interval, based on Bessel functions and as such are part of a large class of expansions based on orthogonal functions. Fourier Bessel series are… … 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 (FONCTIONS DE) — Les fonctions de Bessel jouent un rôle important en mathématiques appliquées et en physique mathématique. Elles interviennent aussi bien dans des problèmes de conduction de la chaleur que dans des problèmes de diffraction, acoustique, ou… … Encyclopédie Universelle
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 filter — In electronics and signal processing, a Bessel filter is a variety of linear filter with a maximally flat group delay (linear phase response). Bessel filters are often used in audio crossover systems. Analog Bessel filters are characterized by… … Wikipedia
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 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's inequality — In mathematics, especially functional analysis, Bessel s inequality is a statement about the coefficients of an element x in a Hilbert space with respect to an orthonormal sequence.Let H be a Hilbert space, and suppose that e 1, e 2, ... is an… … Wikipedia
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
Bessel function — noun Etymology: Friedrich W. Bessel died 1846 Prussian astronomer Date: 1872 one of a class of transcendental functions expressible as infinite series and occurring in the solution of the differential equation x² (d²y/dx²) + x (dy/dx) = (n² x²)y … New Collegiate Dictionary
Función de Bessel — En matemática, las funciones de Bessel, primero definidas por el matemático Daniel Bernoulli y más tarde generalizadas por Friedrich Bessel, son soluciones canónicas y(x) de la ecuación diferencial de Bessel: (1) donde α es un … Wikipedia Español
