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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] > Specific values > Specialized values > Case q+1Fqat z==1





http://functions.wolfram.com/07.31.03.0043.01









  


  








Input Form





HypergeometricPFQ[{-n, 1, Subscript[a, 3], \[Ellipsis], Subscript[a, q + 1]}, {n + 3, Subscript[a, 3] - 1, \[Ellipsis], Subscript[a, q + 1] - 1}, 1] == ((-1)^n n! (n + 2)!)/2 /; Subscript[a, 3] == Subscript[a, 4] == \[Ellipsis] == Subscript[a, q + 1] == 2 && Element[n, Integers] && n == (q - 3)/2








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", "n"]], ",", "1", ",", SubscriptBox["a", "3"], ",", "\[Ellipsis]", ",", SubscriptBox["a", RowBox[List["q", "+", "1"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["n", "+", "3"]], ",", RowBox[List[SubscriptBox["a", "3"], "-", "1"]], ",", "\[Ellipsis]", ",", RowBox[List[SubscriptBox["a", RowBox[List["q", "+", "1"]]], "-", "1"]]]], "}"]], ",", "1"]], "]"]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], "n"], RowBox[List["n", "!"]], RowBox[List[RowBox[List["(", RowBox[List["n", "+", "2"]], ")"]], "!"]]]], "2"]]], "/;", RowBox[List[RowBox[List[SubscriptBox["a", "3"], "\[Equal]", SubscriptBox["a", "4"], "\[Equal]", "\[Ellipsis]", "\[Equal]", SubscriptBox["a", RowBox[List["q", "+", "1"]]], "\[Equal]", "2"]], "\[And]", RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[Equal]", FractionBox[RowBox[List["q", "-", "3"]], "2"]]]]]]]]]








MathML Form







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





2001-10-29