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BesselY




Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[nu,z] > Representations through more general functions > Through Meijer G > Generalized cases involving 0F1





http://functions.wolfram.com/03.03.26.0080.01









  


  








Input Form





BesselY[\[Nu], z] Hypergeometric0F1[1 + \[Nu], z^2/4] == (-2^(-\[Nu]/2)) Sqrt[Pi] Gamma[1 + \[Nu]] MeijerG[{{}, {(1 - \[Nu])/4, (3 - \[Nu])/4}}, {{-(\[Nu]/4), (2 - \[Nu])/4, \[Nu]/4}, {(1 - \[Nu])/4, (3 - \[Nu])/4, -((3 \[Nu])/4)}}, z/(2 Sqrt[2]), 1/4]








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["BesselY", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], " ", RowBox[List["Hypergeometric0F1", "[", RowBox[List[RowBox[List["1", "+", "\[Nu]_"]], ",", FractionBox[SuperscriptBox["z_", "2"], "4"]]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", SuperscriptBox["2", RowBox[List["-", FractionBox["\[Nu]", "2"]]]]]], " ", SqrtBox["\[Pi]"], " ", RowBox[List["Gamma", "[", RowBox[List["1", "+", "\[Nu]"]], "]"]], " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", RowBox[List[FractionBox[RowBox[List["1", "-", "\[Nu]"]], "4"], ",", FractionBox[RowBox[List["3", "-", "\[Nu]"]], "4"]]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["\[Nu]", "4"]]], ",", FractionBox[RowBox[List["2", "-", "\[Nu]"]], "4"], ",", FractionBox["\[Nu]", "4"]]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox[RowBox[List["1", "-", "\[Nu]"]], "4"], ",", FractionBox[RowBox[List["3", "-", "\[Nu]"]], "4"], ",", RowBox[List[RowBox[List["-", FractionBox["1", "4"]]], " ", RowBox[List["(", RowBox[List["3", " ", "\[Nu]"]], ")"]]]]]], "}"]]]], "}"]], ",", FractionBox["z", RowBox[List["2", " ", SqrtBox["2"]]]], ",", FractionBox["1", "4"]]], "]"]]]]]]]]


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





2001-10-29