**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