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modified Bessel function

См. также в других словарях:

  • 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 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

  • Window function — For the term used in SQL statements, see Window function (SQL) In signal processing, a window function (also known as an apodization function or tapering function[1]) is a mathematical function that is zero valued outside of some chosen interval …   Wikipedia

  • Fonction de Bessel modifiée — Les fonctions de Bessel modifiées génèrent l ensemble des solutions de l équation différentielle[1] . Elles sont reliées à la fonction de Bessel de première espèce Jn par[2] …   Wikipédia en Français

  • Kelvin function — noun A class of special functions usually denoted as two pairs of functions ber(x), bei(x), ker(x) and kei(x) with variable x and given order number n. The former two functions ber(x) and bei(x) respectively correspond to the real part and the… …   Wiktionary

  • Green's function for the three-variable Laplace equation — The free space Green s function for the three variable Laplace equation is given in terms of the reciprocal distance between two points. That is to say the solution of the equation : abla^2 G(mathbf{x},mathbf{x }) = delta(mathbf{x} mathbf{x }) is …   Wikipedia

  • Marcum Q-function — In statistics, the Marcum Q function QM is defined as QM is also defined as with modified Bessel function IM − 1 of order …   Wikipedia

  • Matérn covariance function — In statistics, the Matérn covariance (named after the Swedish forestry statistician Bertil Matérn[1]) is a covariance function used in spatial statistics, geostatistics, machine learning, image analysis, and other applications of multivariate… …   Wikipedia

  • Synchrotron function — In mathematics the synchrotron functions are defined as follows (for x ge; 0):* First synchrotron function:F(x) = x int x^infty K {frac{5}{3(t),dt* Second synchrotron function:G(x) = x K {frac{2}{3(x)where K j is the modified Bessel function of… …   Wikipedia

  • Modified discrete cosine transform — The modified discrete cosine transform (MDCT) is a Fourier related transform based on the type IV discrete cosine transform (DCT IV), with the additional property of being lapped: it is designed to be performed on consecutive blocks of a larger… …   Wikipedia

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