About: Appell series

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In mathematics, Appell series are a set of four hypergeometric series F1, F2, F3, F4 of two variables that were introduced by Paul Appell and that generalize Gauss's hypergeometric series 2F1 of one variable. Appell established the set of partial differential equations of which these functions are solutions, and found various reduction formulas and expressions of these series in terms of hypergeometric series of one variable.

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  • In mathematics, Appell series are a set of four hypergeometric series F1, F2, F3, F4 of two variables that were introduced by Paul Appell and that generalize Gauss's hypergeometric series 2F1 of one variable. Appell established the set of partial differential equations of which these functions are solutions, and found various reduction formulas and expressions of these series in terms of hypergeometric series of one variable. (en)
  • 阿佩尔函数是法国数学家（Paul Apell)在1880年为推广高斯超几何函数而创建的一组雙变数函数，定义如下 其中的符号是阶乘幂 阿佩尔函数是嫪丽切拉函数和Kampé_de_Fériet函数的特例。 (zh)
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  • 1123157939 (xsd:integer)
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dbp:author
  • Aarts, Ronald M. (en)
dbp:author1Link
  • Ronald Aarts (en)
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  • Charles Émile Picard (en)
  • Giuseppe Lauricella (en)
  • Paul Émile Appell (en)
dbp:first
  • Paul (en)
  • A. B. (en)
  • Giuseppe (en)
  • R. A. (en)
  • Émile (en)
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  • 16.130000 (xsd:double)
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  • Askey (en)
  • Lauricella (en)
  • Picard (en)
  • Appell (en)
  • Olde Daalhuis (en)
dbp:title
  • Appell Hypergeometric Function (en)
  • Lauricella Functions (en)
dbp:urlname
  • AppellHypergeometricFunction (en)
  • LauricellaFunctions (en)
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  • 1880 (xsd:integer)
  • 1881 (xsd:integer)
  • 1893 (xsd:integer)
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  • In mathematics, Appell series are a set of four hypergeometric series F1, F2, F3, F4 of two variables that were introduced by Paul Appell and that generalize Gauss's hypergeometric series 2F1 of one variable. Appell established the set of partial differential equations of which these functions are solutions, and found various reduction formulas and expressions of these series in terms of hypergeometric series of one variable. (en)
  • 阿佩尔函数是法国数学家（Paul Apell)在1880年为推广高斯超几何函数而创建的一组雙变数函数，定义如下 其中的符号是阶乘幂 阿佩尔函数是嫪丽切拉函数和Kampé_de_Fériet函数的特例。 (zh)
rdfs:label
  • Appell series (en)
  • 阿佩尔函数 (zh)
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