- Hahn polynomials
- Макаров: полиномы Хана
Универсальный англо-русский словарь. Академик.ру. 2011.
Hahn polynomials
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Hahn polynomials — In mathematics, the Hahn polynomials are a family of orthogonal polynomials introduced by harvtxt|Hahn|1949. They are defined in terms of hypergeometric functions by :Q n(x;a,b,N)= {} 3F 2( n, x,n+a+b+1;a+1, N+1;1). ee also*Wilson polynomials, a… … Wikipedia
Dual Hahn polynomials — In mathematics, the dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in terms of generalized hypergeometric functions by for 0≤n≤N where λ(x)=x(x+γ+δ+1).… … Wikipedia
Continuous Hahn polynomials — In mathematics, the continuous Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in terms of generalized hypergeometric functions by Roelof Koekoek, Peter A.… … Wikipedia
Continuous dual Hahn polynomials — In mathematics, the continuous dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in terms of generalized hypergeometric functions by Roelof Koekoek, Peter A … Wikipedia
Continuous dual q-Hahn polynomials — In mathematics, the continuous dual q Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… … Wikipedia
Continuous q-Hahn polynomials — In mathematics, the continuous q Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their… … Wikipedia
Dual q-Hahn polynomials — In mathematics, the dual q Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.… … Wikipedia
Orthogonal polynomials — In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product. The most widely used orthogonal polynomials are the… … Wikipedia
Discrete orthogonal polynomials — In mathematics, a sequence of discrete orthogonal polynomials is a sequence of polynomials that are pairwise orthogonal with repect to a discrete measure. Examples include the discrete Chebyshev polynomials, Charlier polynomials, Krawtchouk… … Wikipedia
Wilson polynomials — In mathematics, Wilson polynomials are a family of orthogonal polynomials introduced by harvtxt|Wilson|1980that generalize Jacobi polynomials, Hahn polynomials, and Charlier polynomials. They are defined in terms of the hypergeometric function… … 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
