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. 2001.

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  • 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 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 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 — Beselio funkcija statusas T sritis fizika atitikmenys: angl. Bessel function vok. Bessel Funktion, f rus. функция Бесселя, f pranc. fonction de Bessel, f …   Fizikos terminų žodynas

  • 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 — may refer to: * Bessel beam * Bessel ellipsoid * Bessel function in mathematics * Bessel s inequality in mathematics * Bessel filter, a linear filter often used in audio crossover systems * Bessel (crater), a small lunar crater * Bessel transform …   Wikipedia

  • bessel — equation, bessel function, or bessel method (named for the German 19thcentury astronomer Friedrich Wilhelm Bessel) …   Eponyms, nicknames, and geographical games

  • 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 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 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

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