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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. Lesky, and René F. Swarttouw 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 Hahn polynomials. 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.

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  • En matemàtiques, els polinomis duals continus de Hahn són una família de en l'esquema d'Askey dels polinomis ortogonals hipergeomètrics. Es defineixen en termes de per Koekoek, Lesky i Swarttouw (2010) ofereix una llista detallada de les seves propietats. Els polinomis estretament relacionats inclouen els Rn(x;γ,δ,N), els polinomis continus de Hahn pn(x,a,b, a, b), i els . Tots aquests polinomis tenen amb un paràmetre q addicional, com els Qn(x;α,β, N;q), etc.. * Gràfica 3D dels polinomis duals continus de Hahn * Gràfica 3D complexa dels polinomis duals continus de Hahn (ca)
  • 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. Lesky, and René F. Swarttouw 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 Hahn polynomials. 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. (en)
  • 连续双哈恩多项式(Continuous dual Hahn polynomials)是一个正交多项式,由下列广义超几何函数定义 (zh)
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  • 2391 (xsd:nonNegativeInteger)
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  • 1068804775 (xsd:integer)
dbo:wikiPageWikiLink
dbp:doi
  • 10.100700 (xsd:double)
dbp:first
  • Peter A. (en)
  • René F. (en)
  • Roderick S. C. (en)
  • Roelof (en)
  • Tom H. (en)
dbp:id
  • 18.190000 (xsd:double)
dbp:isbn
  • 978 (xsd:integer)
dbp:last
  • Wong (en)
  • Koekoek (en)
  • Koornwinder (en)
  • Lesky (en)
  • Swarttouw (en)
dbp:loc
  • 14 (xsd:integer)
dbp:location
  • Berlin, New York (en)
dbp:mr
  • 2656096 (xsd:integer)
dbp:publisher
dbp:series
  • Springer Monographs in Mathematics (en)
dbp:title
  • Hypergeometric orthogonal polynomials and their q-analogues (en)
  • Hahn Class: Definitions (en)
dbp:wikiPageUsesTemplate
dbp:year
  • 2010 (xsd:integer)
dcterms:subject
rdf:type
rdfs:comment
  • En matemàtiques, els polinomis duals continus de Hahn són una família de en l'esquema d'Askey dels polinomis ortogonals hipergeomètrics. Es defineixen en termes de per Koekoek, Lesky i Swarttouw (2010) ofereix una llista detallada de les seves propietats. Els polinomis estretament relacionats inclouen els Rn(x;γ,δ,N), els polinomis continus de Hahn pn(x,a,b, a, b), i els . Tots aquests polinomis tenen amb un paràmetre q addicional, com els Qn(x;α,β, N;q), etc.. * Gràfica 3D dels polinomis duals continus de Hahn * Gràfica 3D complexa dels polinomis duals continus de Hahn (ca)
  • 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. Lesky, and René F. Swarttouw 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 Hahn polynomials. 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. (en)
  • 连续双哈恩多项式(Continuous dual Hahn polynomials)是一个正交多项式,由下列广义超几何函数定义 (zh)
rdfs:label
  • Polinomis duals continus de Hahn (ca)
  • Continuous dual Hahn polynomials (en)
  • 连续双哈恩多项式 (zh)
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