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http://functions.wolfram.com/07.09.04.0008.01
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Singularities[LegendreP[\[Nu], \[Mu], 3, z], \[Nu]] ==
{{ComplexInfinity, Infinity}}
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Cell[BoxData[RowBox[List[RowBox[List["Singularities", "[", RowBox[List[RowBox[List["LegendreP", "[", RowBox[List["\[Nu]", ",", "\[Mu]", ",", "3", ",", "z"]], "]"]], ",", "\[Nu]"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List["{", RowBox[List["ComplexInfinity", ",", "\[Infinity]"]], "}"]], "}"]]]]]]
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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> 𝒮𝒾𝓃ℊ </mi> <mi> ν </mi> </msub> <mo> ( </mo> <semantics> <mrow> <mstyle scriptlevel='0'> <msubsup> <mi> 𝔓 </mi> <mi> ν </mi> <mi> μ </mi> </msubsup> </mstyle> <mo> ( </mo> <mstyle scriptlevel='0'> <mi> z </mi> </mstyle> <mstyle scriptlevel='0'> <mo> ) </mo> </mstyle> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[StyleBox[SubsuperscriptBox[TagBox["\[GothicCapitalP]", LegendreQ], "\[Nu]", "\[Mu]"], Rule[ScriptLevel, 0]], "(", StyleBox["z", Rule[ScriptLevel, 0]], StyleBox[")", Rule[ScriptLevel, 0]]]], Fibonacci] </annotation> </semantics> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> { </mo> <mrow> <mo> { </mo> <mrow> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> <mo> , </mo> <mi> ∞ </mi> </mrow> <mo> } </mo> </mrow> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <msub> <mi> 𝒮𝒾𝓃ℊ </mi> <mi> ν </mi> </msub> <mo> ( </mo> <semantics> <mrow> <mstyle scriptlevel='0'> <msubsup> <mi> 𝔓 </mi> <mi> ν </mi> <mi> μ </mi> </msubsup> </mstyle> <mo> ( </mo> <mstyle scriptlevel='0'> <mi> z </mi> </mstyle> <mstyle scriptlevel='0'> <mo> ) </mo> </mstyle> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[StyleBox[SubsuperscriptBox[TagBox["\[GothicCapitalP]", LegendreQ], "\[Nu]", "\[Mu]"], Rule[ScriptLevel, 0]], "(", StyleBox["z", Rule[ScriptLevel, 0]], StyleBox[")", Rule[ScriptLevel, 0]]]], Fibonacci] </annotation> </semantics> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> { </mo> <mrow> <mo> { </mo> <mrow> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> <mo> , </mo> <mi> ∞ </mi> </mrow> <mo> } </mo> </mrow> <mo> } </mo> </mrow> </mrow> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Singularities", "[", RowBox[List[RowBox[List["LegendreP", "[", RowBox[List["\[Nu]_", ",", "\[Mu]_", ",", "3", ",", "z_"]], "]"]], ",", "\[Nu]_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", RowBox[List["{", RowBox[List["ComplexInfinity", ",", "\[Infinity]"]], "}"]], "}"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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LegendreP[n,z] | LegendreP[nu,z] | LegendreP[nu,mu,z] | LegendreP[n,mu,2,z] | LegendreP[nu,mu,2,z] | |
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