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Hermite polynomials
Hermite polynomials In mathematics, the Hermite polynomials, named in honor of Charles Hermite (Hermite is pronounced "air MEET"), are ...
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Talk:Hermite polynomials
Talk:Hermite polynomials Applications of the Hermite polynomials Can anyone provide more concrete examples of when the Hermite polynomials arise in real-life science ...
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Polynomials of Hermit (translated from French)
Polynomials of Hermit This article is one ébauche ... knowledge by modifying it. In mathematic , them polynomials of Hermit are a continuation of polynômes ... two definitions are not completely equivalent; the polynomials of a definition are in "compression" or ... compared to the other definition. The first polynomials of Hermit are as follows: H_0 ... is a polynomial of degree N. These polynomials are orthogonal for mesure e^{- ...
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Orthogonal polynomials
Orthogonal polynomials Introduction In mathematics, an orthogonal polynomial sequence is an infinite sequence of polynomials p 0 (x), p 1 (x), p ... n, and such that any two different polynomials in the sequence are orthogonal to each ... math>W when any two different polynomials in the sequence are orthogonal, using that ... or both ends. The field of orthogonal polynomials developed in the late 19th century ...
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Laguerre polynomials
Laguerre polynomials In mathematics, the Laguerre polynomials, named after Edmond Laguerre (1834 - 1886), are ... e^{-x} x^n\right). These polynomials are orthogonal to each other with respect ... with variable coefficients. The sequence of Laguerre polynomials is a Sheffer sequence. Low orders The first 5 Laguerre polynomials. The first few polynomials are: |
Charles Hermite
Charles Hermite Charles Hermite (pronounced in IPA, , or phonetically "air-meet ... number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra. Hermite polynomials, Hermite normal form , Hermitian operators, and ...
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Hermite polynomial (translated from German)
Hermite polynomial Those Hermite polynomials (after Charles Hermite ) are Polynome with the following representation: |
Hermite spline
Hermite spline In the mathematical subfield of numerical analysis a Hermite spline is a spline curve where each polynomial of the spline is in Hermite form. See also cubic Hermite spline Hermite polynomials
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Bernoulli polynomials
Bernoulli polynomials In mathematics, the Bernoulli polynomials occur in the study of many special ... for the ordinary derivative operator. Unlike orthogonal polynomials, the Bernoulli polynomials are remarkable in that the number of ... go up as the degree of the polynomials goes up. In the limit of ...
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Chebyshev polynomials
Chebyshev polynomials In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev (Паф ... 1105;в), are a sequence of orthogonal polynomials which are related to de Moivre's ... Lucas numbers. One usually distinguishes between Chebyshev polynomials of the first kind which are denoted T n and Chebyshev polynomials of the second kind which are ...
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