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- Hahn_polynomials abstract "In mathematics, the Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials, introduced by Pafnuty Chebyshev in 1875 (Chebyshev 1907) and rediscovered by Wolfgang Hahn (Hahn 1949). The Hahn class is a name for special cases of Hahn polynomials, including Hahn polynomials, Meixner polynomials, Krawtchouk polynomials, and Charlier polynomials. Sometimes the Hahn class is taken to include limiting cases of these polynomials, in which case it also includes the classical orthogonal polynomials. Hahn polynomials are defined in terms of generalized hypergeometric functions by Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.Closely related polynomials include the dual Hahn polynomials Rn(x;γ,δ,N), the continuous Hahn polynomials pn(x,a,b, a, b), and the continuous dual Hahn polynomials Sn(x;a,b,c). These polynomials all have q-analogs with an extra parameter q, such as the q-Hahn polynomials Qn(x;α,β, N;q), and so on.".
- Hahn_polynomials wikiPageExternalLink n250.
- Hahn_polynomials wikiPageID "19585658".
- Hahn_polynomials wikiPageRevisionID "570951746".
- Hahn_polynomials doi "10.1007".
- Hahn_polynomials first "Peter A.".
- Hahn_polynomials first "René F.".
- Hahn_polynomials first "Roderick S. C.".
- Hahn_polynomials first "Roelof".
- Hahn_polynomials first "Tom H.".
- Hahn_polynomials hasPhotoCollection Hahn_polynomials.
- Hahn_polynomials id "18.19".
- Hahn_polynomials isbn "978".
- Hahn_polynomials last "Koekoek".
- Hahn_polynomials last "Koornwinder".
- Hahn_polynomials last "Lesky".
- Hahn_polynomials last "Swarttouw".
- Hahn_polynomials last "Wong".
- Hahn_polynomials loc "14".
- Hahn_polynomials location "Berlin, New York".
- Hahn_polynomials mr "2656096".
- Hahn_polynomials publisher Springer_Science+Business_Media.
- Hahn_polynomials series "Springer Monographs in Mathematics".
- Hahn_polynomials title "Hahn Class: Definitions".
- Hahn_polynomials title "Hypergeometric orthogonal polynomials and their q-analogues".
- Hahn_polynomials year "2010".
- Hahn_polynomials subject Category:Orthogonal_polynomials.
- Hahn_polynomials subject Category:Special_hypergeometric_functions.
- Hahn_polynomials type Abstraction100002137.
- Hahn_polynomials type Function113783816.
- Hahn_polynomials type MathematicalRelation113783581.
- Hahn_polynomials type OrthogonalPolynomials.
- Hahn_polynomials type Polynomial105861855.
- Hahn_polynomials type Relation100031921.
- Hahn_polynomials type SpecialHypergeometricFunctions.
- Hahn_polynomials comment "In mathematics, the Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials, introduced by Pafnuty Chebyshev in 1875 (Chebyshev 1907) and rediscovered by Wolfgang Hahn (Hahn 1949). The Hahn class is a name for special cases of Hahn polynomials, including Hahn polynomials, Meixner polynomials, Krawtchouk polynomials, and Charlier polynomials.".
- Hahn_polynomials label "Hahn polynomials".
- Hahn_polynomials label "Hahn-Polynom".
- Hahn_polynomials sameAs Hahn-Polynom.
- Hahn_polynomials sameAs ハーン多項式.
- Hahn_polynomials sameAs m.04myv1q.
- Hahn_polynomials sameAs Q1568814.
- Hahn_polynomials sameAs Q1568814.
- Hahn_polynomials sameAs Hahn_polynomials.
- Hahn_polynomials wasDerivedFrom Hahn_polynomials?oldid=570951746.
- Hahn_polynomials isPrimaryTopicOf Hahn_polynomials.