Jacobi polynomial

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• Jacobi polynomial — hipergeometrinis daugianaris statusas T sritis fizika atitikmenys: angl. hypergeometric polynomial; Jacobi polynomial vok. hypergeometrisches Polynom, n rus. гипергеометрический полином, m; полином Якоби, m pranc. polynôme hypergéométrique, m …   Fizikos terminų žodynas

• Jacobi — may refer to:People with the surname Jacobi: *Jacobi (surname)Other: * Jacobi Medical Center, New York * Jacobi sum, a type of character sum in mathematics * Jacobi method, a method for diagonalization of matrices in mathematics * Jacobi… …   Wikipedia

• Jacobi polynomials — In mathematics, Jacobi polynomials are a class of orthogonal polynomials. They are obtained from hypergeometric series in cases where the series is in fact finite::P n^{(alpha,eta)}(z)=frac{(alpha+1) n}{n!}, 2F 1left(… …   Wikipedia

• Jacobi-Polynom — Die Jacobi Polynome (nach Carl Gustav Jacob Jacobi), auch hypergeometrische Polynome sind eine Menge polynomieller Lösungen des Sturm Liouville Problems, die einen Satz orthogonaler Polynome bilden, und zwar auf dem Intervall [ 1,1] bezüglich der …   Deutsch Wikipedia

• Jacobi-Polynome — Die Jacobi Polynome, auch hypergeometrische Polynome sind eine Menge orthogonaler Polynome im Intervall 1..1 mit der Gewichtungsfunktion (1 − z)α(1 + z)β, mit α, β > 1. Sie sind benannt nach dem Mathematiker Carl Gustav Jacob Jacobi und bilden …   Deutsch Wikipedia

• hypergeometric polynomial — hipergeometrinis daugianaris statusas T sritis fizika atitikmenys: angl. hypergeometric polynomial; Jacobi polynomial vok. hypergeometrisches Polynom, n rus. гипергеометрический полином, m; полином Якоби, m pranc. polynôme hypergéométrique, m …   Fizikos terminų žodynas

• Gauss-Jacobi Mechanical Quadrature — Let x 1 < x 2 < ... < x n are the zeros of polynomial p n( x )of degree n . Then there exist real numbers λ1, λ2, ... λn such that int a^b f(x) omega(x) , dx = lambda 1 f(x 1) + lambda 2 f(x 2) + ... + lambda n f(x n)for any function f ( x ) that …   Wikipedia

• Macdonald polynomial — In mathematics, Macdonald polynomials P λ are a two parameter family of orthogonal polynomials indexed by a positive weight λ of a root system, introduced by Ian G. Macdonald (1987). They generalize several other families of orthogonal… …   Wikipedia

• Classical orthogonal polynomials — In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical… …   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

• Askey–Gasper inequality — In mathematics, the Askey–Gasper inequality, named after Richard Askey and George Gasper, is an inequality for Jacobi polynomials proved by harvtxt|Askey|Gasper|1976. It states that if beta; ge; 0, α + beta; ge; −2, and −1 le; x le; 1 then:sum {k …   Wikipedia