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Statements

Subject Item
dbr:Appell_series
rdf:type
yago:Function113783816 yago:WikicatHypergeometricFunctions yago:Abstraction100002137 yago:MathematicalRelation113783581 yago:Relation100031921
rdfs:label
阿佩尔函数 Appell series
rdfs:comment
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。 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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dbc:Mathematical_series dbc:Hypergeometric_functions
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19783560
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1123157939
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dbt:Cite_journal dbt:Dlmf dbt:Harv dbt:Short_description dbt:Harvid dbt:Main dbt:Dablink dbt:Harvs dbt:Mathworld dbt:Reflist dbt:ISBN dbt:Cite_book
dbp:author
Aarts, Ronald M.
dbp:authorlink
Paul Émile Appell Charles Émile Picard Giuseppe Lauricella
dbp:first
Giuseppe Paul R. A. Émile A. B.
dbp:id
16.13
dbp:last
Appell Picard Olde Daalhuis Askey Lauricella
dbp:title
Lauricella Functions Appell Hypergeometric Function
dbp:urlname
AppellHypergeometricFunction LauricellaFunctions
dbp:year
1880 1881 1893
dbo:abstract
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. 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。
dbp:author1Link
Ronald Aarts
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wikipedia-en:Appell_series?oldid=1123157939&ns=0
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