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http://functions.wolfram.com/03.04.02.0002.01
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BesselK[\[Nu], z] == Limit[BesselK[\[Mu], z], \[Mu] -> \[Nu]] /;
Element[\[Nu], Integers]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BesselK", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", RowBox[List["Limit", "[", RowBox[List[RowBox[List["BesselK", "[", RowBox[List["\[Mu]", ",", "z"]], "]"]], ",", RowBox[List["\[Mu]", "\[Rule]", "\[Nu]"]]]], "]"]]]], "/;", RowBox[List["Element", "[", RowBox[List["\[Nu]", ",", "Integers"]], "]"]]]]]]
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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> <mrow> <msub> <mi> K </mi> <mi> ν </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <munder> <mi> lim </mi> <mrow> <mi> μ </mi> <semantics> <mo> → </mo> <annotation encoding='Mathematica'> "\[Rule]" </annotation> </semantics> <mi> ν </mi> </mrow> </munder> <mo> ⁢ </mo> <mtext>   </mtext> <mrow> <msub> <mi> K </mi> <mi> μ </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> ν </mi> <mo> ∈ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> BesselK </ci> <ci> ν </ci> <ci> z </ci> </apply> <apply> <limit /> <bvar> <ci> μ </ci> </bvar> <condition> <apply> <tendsto /> <ci> μ </ci> <ci> ν </ci> </apply> </condition> <apply> <ci> BesselK </ci> <ci> μ </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <in /> <ci> ν </ci> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselK", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Limit", "[", RowBox[List[RowBox[List["BesselK", "[", RowBox[List["\[Mu]", ",", "z"]], "]"]], ",", RowBox[List["\[Mu]", "\[Rule]", "\[Nu]"]]]], "]"]], "/;", RowBox[List["\[Nu]", "\[Element]", "Integers"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
