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variants of this functions
MeijerG




Mathematica Notation

Traditional Notation









Hypergeometric Functions > MeijerG[{{a1,...,an},{an+1,...,ap}},{{b1,...,bm},{bm+1,...,bq}},z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function





http://functions.wolfram.com/07.34.21.0006.01









  


  








Input Form





Integrate[z^(-Subscript[a, 4] - 1) MeijerG[{{Subscript[a, 1], Subscript[a, 2]}, {Subscript[a, 3], Subscript[a, 4]}}, {{Subscript[b, 1], Subscript[b, 2]}, {Subscript[b, 3], Subscript[b, 4]}}, w z], z] == MeijerG[{{Subscript[a, 1], Subscript[a, 2], 1 + Subscript[a, 4]}, {Subscript[a, 3], Subscript[a, 4]}}, {{Subscript[b, 1], Subscript[b, 2]}, {Subscript[a, 4], Subscript[b, 3], Subscript[b, 4]}}, w z]/ z^Subscript[a, 4]








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["z_", RowBox[List[RowBox[List["-", SubscriptBox["a_", "4"]]], "-", "1"]]], " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a_", "1"], ",", SubscriptBox["a_", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["a_", "3"], ",", SubscriptBox["a_", "4"]]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["b_", "1"], ",", SubscriptBox["b_", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["b_", "3"], ",", SubscriptBox["b_", "4"]]], "}"]]]], "}"]], ",", RowBox[List["w_", " ", "z_"]]]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", RowBox[List["-", SubscriptBox["aa", "4"]]]], " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["aa", "1"], ",", SubscriptBox["aa", "2"], ",", RowBox[List["1", "+", SubscriptBox["aa", "4"]]]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["aa", "3"], ",", SubscriptBox["aa", "4"]]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["bb", "1"], ",", SubscriptBox["bb", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["aa", "4"], ",", SubscriptBox["bb", "3"], ",", SubscriptBox["bb", "4"]]], "}"]]]], "}"]], ",", RowBox[List["w", " ", "z"]]]], "]"]]]]]]]]


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





2001-10-29