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variants of this functions
HypergeometricPFQRegularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case q+1F~q





http://functions.wolfram.com/07.32.03.0014.01









  


  








Input Form





HypergeometricPFQRegularized[{a, Subscript[a, 2], \[Ellipsis], Subscript[a, q + 1]}, {Subscript[a, 2] + 1, \[Ellipsis], Subscript[a, q + 1] + 1}, z] == (1/Product[Gamma[Subscript[a, k] + 1], {k, 2, q + 1}]) Sum[Gamma[Subscript[a, k] + 1] Hypergeometric2F1Regularized[a, Subscript[a, k], Subscript[a, k] + 1, z] Product[If[j == k, 1, Subscript[a, j]/(Subscript[a, j] - Subscript[a, k])], {j, 2, q + 1}], {k, 2, q + 1}]








Standard Form





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MathML Form







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</ms> <apply> <ci> TagBox </ci> <ms> z </ms> <ci> Hypergeometric2F1Regularized </ci> <apply> <ci> Rule </ci> <ci> Editable </ci> <true /> </apply> </apply> </list> </apply> <ms> ) </ms> </list> </apply> </list> </apply> <apply> <ci> RowBox </ci> <list> <apply> <ci> UnderoverscriptBox </ci> <ms> &#8719; </ms> <apply> <ci> UnderscriptBox </ci> <apply> <ci> RowBox </ci> <list> <ms> j </ms> <ms> = </ms> <ms> 2 </ms> </list> </apply> <apply> <ci> RowBox </ci> <list> <ms> j </ms> <ms> &#8800; </ms> <ms> k </ms> </list> </apply> </apply> <apply> <ci> RowBox </ci> <list> <ms> q </ms> <ms> + </ms> <ms> 1 </ms> </list> </apply> </apply> <apply> <ci> FractionBox </ci> <apply> <ci> SubscriptBox </ci> <ms> a </ms> <ms> j </ms> </apply> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> a </ms> <ms> j </ms> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> a </ms> <ms> k </ms> </apply> </list> </apply> </apply> </list> </apply> </list> </apply> </list> </apply> </list> </apply> </list> </apply> <ci> TraditionalForm </ci> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29