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http://functions.wolfram.com/03.04.13.0006.01
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Wronskian[Sqrt[z] BesselI[\[Nu], Sqrt[m^2] z],
Sqrt[z] BesselK[\[Nu], Sqrt[m^2] z], z] == -1
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Cell[BoxData[RowBox[List[RowBox[List["Wronskian", "[", RowBox[List[RowBox[List[SqrtBox["z"], " ", RowBox[List["BesselI", "[", RowBox[List["\[Nu]", ",", RowBox[List[SqrtBox[SuperscriptBox["m", "2"]], " ", "z"]]]], "]"]]]], ",", RowBox[List[SqrtBox["z"], " ", RowBox[List["BesselK", "[", RowBox[List["\[Nu]", ",", RowBox[List[SqrtBox[SuperscriptBox["m", "2"]], " ", "z"]]]], "]"]]]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["-", "1"]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> W </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <mrow> <msqrt> <mi> z </mi> </msqrt> <mo> ⁢ </mo> <mrow> <msub> <mi> I </mi> <mi> ν </mi> </msub> <mo> ( </mo> <mrow> <msqrt> <msup> <mi> m </mi> <mn> 2 </mn> </msup> </msqrt> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> , </mo> <mrow> <msqrt> <mi> z </mi> </msqrt> <mo> ⁢ </mo> <mrow> <msub> <mi> K </mi> <mi> ν </mi> </msub> <mo> ( </mo> <mrow> <msqrt> <msup> <mi> m </mi> <mn> 2 </mn> </msup> </msqrt> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> W </ci> <ci> z </ci> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <ci> BesselI </ci> <ci> ν </ci> <apply> <times /> <apply> <power /> <apply> <power /> <ci> m </ci> <cn type='integer'> 2 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <ci> BesselK </ci> <ci> ν </ci> <apply> <times /> <apply> <power /> <apply> <power /> <ci> m </ci> <cn type='integer'> 2 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> z </ci> </apply> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Wronskian", "[", RowBox[List[RowBox[List[SqrtBox["z_"], " ", RowBox[List["BesselI", "[", RowBox[List["\[Nu]_", ",", RowBox[List[SqrtBox[SuperscriptBox["m_", "2"]], " ", "z_"]]]], "]"]]]], ",", RowBox[List[SqrtBox["z_"], " ", RowBox[List["BesselK", "[", RowBox[List["\[Nu]_", ",", RowBox[List[SqrtBox[SuperscriptBox["m_", "2"]], " ", "z_"]]]], "]"]]]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", "1"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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