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http://functions.wolfram.com/03.01.29.0003.01
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0 < BesselJ[\[Nu], \[Nu]] < (2^(1/3) Gamma[2/3] \[Nu]^(1/3))/3^(2/3) /;
\[Nu] > 0
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Cell[BoxData[RowBox[List[RowBox[List["0", "<", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "\[Nu]"]], "]"]], "<", FractionBox[RowBox[List[SuperscriptBox["2", RowBox[List["1", "/", "3"]]], " ", RowBox[List["Gamma", "[", FractionBox["2", "3"], "]"]], " ", SuperscriptBox["\[Nu]", RowBox[List["1", "/", "3"]]]]], SuperscriptBox["3", RowBox[List["2", "/", "3"]]]]]], "/;", RowBox[List["\[Nu]", ">", "0"]]]]]]
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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> <mn> 0 </mn> <mo> < </mo> <mrow> <msub> <mi> J </mi> <mi> ν </mi> </msub> <mo> ( </mo> <mi> ν </mi> <mo> ) </mo> </mrow> <mo> < </mo> <mrow> <mfrac> <mrow> <mroot> <mn> 2 </mn> <mn> 3 </mn> </mroot> <mo> ⁢ </mo> <mroot> <mi> ν </mi> <mn> 3 </mn> </mroot> </mrow> <msup> <mn> 3 </mn> <mrow> <mn> 2 </mn> <mo> / </mo> <mn> 3 </mn> </mrow> </msup> </mfrac> <mo> ⁢ </mo> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mfrac> <mn> 2 </mn> <mn> 3 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> </mrow> <mtext> </mtext> <mo> /; </mo> <mrow> <mi> ν </mi> <mo> > </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <lt /> <cn type='integer'> 0 </cn> <apply> <ci> BesselJ </ci> <ci> ν </ci> <ci> ν </ci> </apply> <apply> <times /> <apply> <times /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 3 </cn> </apply> <apply> <power /> <ci> ν </ci> <cn type='rational'> 1 <sep /> 3 </cn> </apply> <apply> <power /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='rational'> 2 <sep /> 3 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <ci> Gamma </ci> <cn type='rational'> 2 <sep /> 3 </cn> </apply> </apply> </apply> <apply> <gt /> <ci> ν </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["0", "<", RowBox[List["BesselJ", "[", RowBox[List["\[Nu]", ",", "\[Nu]"]], "]"]], "<", FractionBox[RowBox[List[SuperscriptBox["2", RowBox[List["1", "/", "3"]]], " ", RowBox[List["Gamma", "[", FractionBox["2", "3"], "]"]], " ", SuperscriptBox["\[Nu]", RowBox[List["1", "/", "3"]]]]], SuperscriptBox["3", RowBox[List["2", "/", "3"]]]]]], "/;", RowBox[List["\[Nu]", ">", "0"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
