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variants of this functions
LaguerreL




Mathematica Notation

Traditional Notation









Polynomials > LaguerreL[n,lambda,z] > General characteristics > Symmetries and periodicities > Mirror symmetry





http://functions.wolfram.com/05.08.04.0002.01









  


  








Input Form





LaguerreL[n, Conjugate[\[Lambda]], Conjugate[z]] == Conjugate[LaguerreL[n, \[Lambda], z]]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["LaguerreL", "[", RowBox[List["n", ",", RowBox[List["Conjugate", "[", "\[Lambda]", "]"]], ",", RowBox[List["Conjugate", "[", "z", "]"]]]], "]"]], "\[Equal]", RowBox[List["Conjugate", "[", RowBox[List["LaguerreL", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msubsup> <mi> L </mi> <mstyle scriptlevel='0'> <mi> n </mi> </mstyle> <mstyle scriptlevel='0'> <mover> <mi> &#955; </mi> <mo> _ </mo> </mover> </mstyle> </msubsup> <mo> ( </mo> <mstyle scriptlevel='0'> <mover> <mi> z </mi> <mo> _ </mo> </mover> </mstyle> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mover> <mrow> <msubsup> <mi> L </mi> <mi> n </mi> <mi> &#955; </mi> </msubsup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> _ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> LaguerreL </ci> <ci> n </ci> <apply> <ci> OverBar </ci> <ci> &#955; </ci> </apply> <apply> <ci> OverBar </ci> <ci> z </ci> </apply> </apply> <apply> <ci> OverBar </ci> <apply> <ci> LaguerreL </ci> <ci> n </ci> <ci> &#955; </ci> <ci> z </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaguerreL", "[", RowBox[List["n_", ",", RowBox[List["Conjugate", "[", "\[Lambda]_", "]"]], ",", RowBox[List["Conjugate", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Conjugate", "[", RowBox[List["LaguerreL", "[", RowBox[List["n", ",", "\[Lambda]", ",", "z"]], "]"]], "]"]]]]]]


Date Added to functions.wolfram.com (modification date)





2001-10-29