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http://functions.wolfram.com/03.03.30.0001.01
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BesselY[\[Nu], z] == 0 /; z == Subscript[z, k] && Element[k, Integers] &&
k >= 0 && Element[\[Nu], Reals] && Re[Subscript[z, k]] == Subscript[z, k]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["BesselY", "[", RowBox[List["\[Nu]", ",", "z"]], "]"]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List["z", "\[Equal]", SubscriptBox["z", "k"]]], "\[And]", RowBox[List["k", "\[Element]", "Integers"]], "\[And]", RowBox[List["k", "\[GreaterEqual]", "0"]], "\[And]", RowBox[List["\[Nu]", "\[Element]", "Reals"]], "\[And]", RowBox[List[RowBox[List["Re", "[", SubscriptBox["z", "k"], "]"]], "\[Equal]", SubscriptBox["z", "k"]]]]]]]]]
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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> Y </mi> <mi> ν </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> z </mi> <mo> ⩵ </mo> <msub> <mi> z </mi> <mi> k </mi> </msub> </mrow> <mo> ∧ </mo> <mrow> <mi> k </mi> <mo> ∈ </mo> <mi> ℕ </mi> </mrow> <mo> ∧ </mo> <mrow> <mi> ν </mi> <mo> ∈ </mo> <semantics> <mi> ℝ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalR]", Function[Reals]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mrow> <mi> Re </mi> <mo> ⁡ </mo> <mo> ( </mo> <msub> <mi> z </mi> <mi> k </mi> </msub> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <msub> <mi> z </mi> <mi> k </mi> </msub> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> BesselY </ci> <ci> ν </ci> <ci> z </ci> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <and /> <apply> <eq /> <ci> z </ci> <apply> <ci> Subscript </ci> <ci> z </ci> <ci> k </ci> </apply> </apply> <apply> <in /> <ci> k </ci> <ci> ℕ </ci> </apply> <apply> <in /> <ci> ν </ci> <reals /> </apply> <apply> <eq /> <apply> <real /> <apply> <ci> Subscript </ci> <ci> z </ci> <ci> k </ci> </apply> </apply> <apply> <ci> Subscript </ci> <ci> z </ci> <ci> k </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["BesselY", "[", RowBox[List["\[Nu]_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List["z", "\[Equal]", SubscriptBox["z", "k"]]], "&&", RowBox[List["k", "\[Element]", "Integers"]], "&&", RowBox[List["k", "\[GreaterEqual]", "0"]], "&&", RowBox[List["\[Nu]", "\[Element]", "Reals"]], "&&", RowBox[List[RowBox[List["Re", "[", SubscriptBox["z", "k"], "]"]], "\[Equal]", SubscriptBox["z", "k"]]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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