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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Differentiation > Low-order differentiation > With respect to z





http://functions.wolfram.com/07.25.20.0015.01









  


  








Input Form





D[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2]}, z], z] == ((Subscript[a, 1] Subscript[a, 2])/(Subscript[b, 1] Subscript[b, 2])) HypergeometricPFQ[{1 + Subscript[a, 1], 1 + Subscript[a, 2]}, {1 + Subscript[b, 1], 1 + Subscript[b, 2]}, z]








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z_"]]], RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a_", "1"], ",", SubscriptBox["a_", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["b_", "1"], ",", SubscriptBox["b_", "2"]]], "}"]], ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[SubscriptBox["aa", "1"], " ", SubscriptBox["aa", "2"]]], ")"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["1", "+", SubscriptBox["aa", "1"]]], ",", RowBox[List["1", "+", SubscriptBox["aa", "2"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["1", "+", SubscriptBox["bb", "1"]]], ",", RowBox[List["1", "+", SubscriptBox["bb", "2"]]]]], "}"]], ",", "z"]], "]"]]]], RowBox[List[SubscriptBox["bb", "1"], " ", SubscriptBox["bb", "2"]]]]]]]]


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





2001-10-29