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Bessel integral

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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-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

  • 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

  • Faisceau de Bessel — Un faisceau de Bessel est un champ de radiations électromagnétiques[1],[2],[3], acoustiques ou gravitationnelles dont l amplitude suit une fonction de Bessel de première espèce. Pour le faisceau de Bessel d ordre zéro, l amplitude est maximale à… …   Wikipédia en Français

  • 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

  • Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Trigonometric integral — Si(x) (blue) and Ci(x) (green) plotted on the same plot. In mathematics, the trigonometric integrals are a family of integrals which involve trigonometric functions. A number of the basic trigonometric integrals are discussed at the list of… …   Wikipedia

  • Selberg integral — In mathematics the Selberg integral is a generalization of Euler beta function to n dimensions introduced and proven by Atle Selberg (1944). Contents 1 Selberg s integral formula 2 Aomoto s integral formula 3 Mehta s integral …   Wikipedia

  • Oszillierendes Integral — Ein oszillierendes Integral ist ein Objekt aus dem mathematischen Teilgebiet der Funktionalanalysis beziehungsweise aus der mikrolokalen Analysis. Es ist ein verallgemeinerter Integralbegriff, welcher insbesondere im Bereich der… …   Deutsch Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

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