About: Dual Hahn polynomials

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In mathematics, the dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined on a non-uniform lattice and are defined as for and the parameters are restricted to . Note that is the rising factorial, otherwise known as the Pochhammer symbol, and is the generalized hypergeometric functions Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties.

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  • In mathematics, the dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined on a non-uniform lattice and are defined as for and the parameters are restricted to . Note that is the rising factorial, otherwise known as the Pochhammer symbol, and is the generalized hypergeometric functions Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. (en)
  • 双対ハーン多項式（そうついはーんたこうしき、英語: dual Hahn polynomials）は直交多項式のひとつで、アスキースキームによって体系付けられる。 (ja)
  • 双重哈恩多项式(Dual Hahn polynomials)是一个正交多项式，定义如下 其中0≤n≤N 双重哈恩多项式的前几个： (zh)
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  • 32670696 (xsd:integer)
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  • 3938 (xsd:nonNegativeInteger)
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  • 1114658536 (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)
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  • In mathematics, the dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined on a non-uniform lattice and are defined as for and the parameters are restricted to . Note that is the rising factorial, otherwise known as the Pochhammer symbol, and is the generalized hypergeometric functions Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw give a detailed list of their properties. (en)
  • 双対ハーン多項式（そうついはーんたこうしき、英語: dual Hahn polynomials）は直交多項式のひとつで、アスキースキームによって体系付けられる。 (ja)
  • 双重哈恩多项式(Dual Hahn polynomials)是一个正交多项式，定义如下 其中0≤n≤N 双重哈恩多项式的前几个： (zh)
rdfs:label
  • Dual Hahn polynomials (en)
  • 双対ハーン多項式 (ja)
  • 双哈恩多项式 (zh)
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