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variants of this functions
LegendreP




Mathematica Notation

Traditional Notation









Polynomials > LegendreP[n,z] > Representations through more general functions > Through other functions > Involving some hypergeometric-type functions





http://functions.wolfram.com/05.03.26.0026.01









  


  








Input Form





LegendreP[n, z] == LegendreP[n, 0, z] == LegendreP[n, 0, 2, z]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["LegendreP", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Equal]", RowBox[List["LegendreP", "[", RowBox[List["n", ",", "0", ",", "z"]], "]"]], "\[Equal]", RowBox[List["LegendreP", "[", RowBox[List["n", ",", "0", ",", "2", ",", "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> <msub> <semantics> <mi> P </mi> <annotation encoding='Mathematica'> TagBox[&quot;P&quot;, LegendreP] </annotation> </semantics> <mi> n </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <msubsup> <semantics> <mi> P </mi> <annotation encoding='Mathematica'> TagBox[&quot;P&quot;, LegendreP] </annotation> </semantics> <mi> n </mi> <mn> 0 </mn> </msubsup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> LegendreP </ci> <ci> n </ci> <ci> z </ci> </apply> <apply> <ci> LegendreP </ci> <ci> n </ci> <cn type='integer'> 0 </cn> <ci> z </ci> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["LegendreP", "[", RowBox[List["n", ",", "z"]], "]"]], "\[Equal]", RowBox[List["LegendreP", "[", RowBox[List["n", ",", "0", ",", "z"]], "]"]], "\[Equal]", RowBox[List["LegendreP", "[", RowBox[List["n", ",", "0", ",", "2", ",", "z"]], "]"]]]]]]


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





2001-10-29