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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > General characteristics > Symmetries and periodicities > Permutation symmetry





http://functions.wolfram.com/07.28.04.0005.01









  


  










Input Form





HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], \[Ellipsis], Subscript[b, k], \[Ellipsis], Subscript[b, j], \[Ellipsis], Subscript[b, 3]}, z] == HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, 4]}, {Subscript[b, 1], Subscript[b, 2], \[Ellipsis], Subscript[b, j], \[Ellipsis], Subscript[b, k], \[Ellipsis], Subscript[b, 3]}, z] /; Subscript[b, k] != Subscript[b, j] && k != j










Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["a", "4"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["b", "1"], ",", SubscriptBox["b", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["b", "k"], ",", "\[Ellipsis]", ",", SubscriptBox["b", "j"], ",", "\[Ellipsis]", ",", SubscriptBox["b", "3"]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["a", "4"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["b", "1"], ",", SubscriptBox["b", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["b", "j"], ",", "\[Ellipsis]", ",", SubscriptBox["b", "k"], ",", "\[Ellipsis]", ",", SubscriptBox["b", "3"]]], "}"]], ",", "z"]], "]"]]]], "/;", RowBox[List[RowBox[List[SubscriptBox["b", "k"], "\[NotEqual]", SubscriptBox["b", "j"]]], "\[And]", RowBox[List["k", "\[NotEqual]", "j"]]]]]]]]










MathML Form







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





2001-10-29





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