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Bessel polynomial

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  • 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

  • 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

  • Newton polynomial — In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is the interpolation polynomial for a given set of data points in the Newton form. The Newton polynomial is sometimes called Newton s… …   Wikipedia

  • Neumann polynomial — In mathematics, a Neumanns polynomial, introduced by Carl Neumann for the special case α = 0, is a polynomial in 1/z used to expand functions in term of Bessel functions.[1] The first few polynomials are …   Wikipedia

  • Filtre De Bessel — Le filtre de Bessel, également désigné sous le nom de filtre de Thompson, est un filtre polynomial (« tout pôle ») dont la caractéristique principale est d offrir un délai constant en bande passante. Concrètement, cela signifie que… …   Wikipédia en Français

  • Filtre de bessel — Le filtre de Bessel, également désigné sous le nom de filtre de Thompson, est un filtre polynomial (« tout pôle ») dont la caractéristique principale est d offrir un délai constant en bande passante. Concrètement, cela signifie que… …   Wikipédia en Français

  • Lommel polynomial — A Lommel polynomial R m , nu;( z ), introduced by harvs|txt|authorlink=Eugen von Lommel|first=Eugen von|last= Lommel|year=1871, is a polynomial in 1/ z giving the recurrence relation :displaystyle J {m+ u}(z) = J u(z)R {m, u}(z) J { u 1}(z)R {m 1 …   Wikipedia

  • Confluent hypergeometric function — In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular… …   Wikipedia

  • List of special functions and eponyms — This is a list of special function eponyms in mathematics, to cover the theory of special functions, the differential equations they satisfy, named differential operators of the theory (but not intended to include every mathematical eponym).… …   Wikipedia

  • Particle in a spherically symmetric potential — In quantum mechanics, the particle in a spherically symmetric potential describes the dynamics of a particle in a potential which has spherical symmetry. The Hamiltonian for such a system has the form:hat{H} = frac{hat{p}^2}{2m 0} + V(r)where m 0 …   Wikipedia

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