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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] > Differentiation > Low-order differentiation > With respect to a2





http://functions.wolfram.com/07.26.20.0004.01









  


  








Input Form





Derivative[{0, 1}, {0, 0, 0}, 0][HypergeometricPFQ][ {Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] == ((z Subscript[a, 1])/(Subscript[b, 1] Subscript[b, 2] Subscript[b, 3])) HypergeometricPFQ[{{1 + Subscript[a, 1], 1 + Subscript[a, 2]}, {1}, {1, Subscript[a, 2]}}, {{2, 1 + Subscript[b, 1], 1 + Subscript[b, 2], 1 + Subscript[b, 3]}, {}, {1 + Subscript[a, 2]}}, z, z]








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox["HypergeometricPFQ", TagBox[RowBox[List["(", RowBox[List[RowBox[List["{", RowBox[List["0", ",", "1"]], "}"]], ",", RowBox[List["{", RowBox[List["0", ",", "0", ",", "0"]], "}"]], ",", "0"]], ")"]], Derivative], Rule[MultilineFunction, None]], "[", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a_", "1"], ",", SubscriptBox["a_", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["b_", "1"], ",", SubscriptBox["b_", "2"], ",", SubscriptBox["b_", "3"]]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List["z", " ", SubscriptBox["aa", "1"]]], ")"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["1", "+", SubscriptBox["aa", "1"]]], ",", RowBox[List["1", "+", SubscriptBox["aa", "2"]]]]], "}"]], ",", RowBox[List["{", "1", "}"]], ",", RowBox[List["{", RowBox[List["1", ",", SubscriptBox["aa", "2"]]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["2", ",", RowBox[List["1", "+", SubscriptBox["bb", "1"]]], ",", RowBox[List["1", "+", SubscriptBox["bb", "2"]]], ",", RowBox[List["1", "+", SubscriptBox["bb", "3"]]]]], "}"]], ",", RowBox[List["{", "}"]], ",", RowBox[List["{", RowBox[List["1", "+", SubscriptBox["aa", "2"]]], "}"]]]], "}"]], ",", "z", ",", "z"]], "]"]]]], RowBox[List[SubscriptBox["bb", "1"], " ", SubscriptBox["bb", "2"], " ", SubscriptBox["bb", "3"]]]]]]]]


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





2001-10-29