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Multinomial




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Multinomial[n1,n2,...,nm] > General characteristics > Symmetries and periodicities > Mirror symmetry





http://functions.wolfram.com/06.04.04.0002.01









  


  








Input Form





Multinomial[Conjugate[Subscript[n, 1]], Conjugate[Subscript[n, 2]], \[Ellipsis], Conjugate[Subscript[n, m]]] == Conjugate[Multinomial[Subscript[n, 1], Subscript[n, 2], \[Ellipsis], Subscript[n, m]]]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Multinomial", "[", RowBox[List[RowBox[List["Conjugate", "[", SubscriptBox["n", "1"], "]"]], ",", RowBox[List["Conjugate", "[", SubscriptBox["n", "2"], "]"]], ",", "\[Ellipsis]", ",", RowBox[List["Conjugate", "[", SubscriptBox["n", "m"], "]"]]]], "]"]], "\[Equal]", RowBox[List["Conjugate", "[", RowBox[List["Multinomial", "[", RowBox[List[SubscriptBox["n", "1"], ",", SubscriptBox["n", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "m"]]], "]"]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mover> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> _ </mo> </mover> <mo> + </mo> <mover> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> _ </mo> </mover> <mo> + </mo> <mo> &#8230; </mo> <mo> + </mo> <mover> <msub> <mi> n </mi> <mi> m </mi> </msub> <mo> _ </mo> </mover> </mrow> <mo> ; </mo> <mover> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> _ </mo> </mover> </mrow> <mo> , </mo> <mover> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> _ </mo> </mover> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <mover> <msub> <mi> n </mi> <mi> m </mi> </msub> <mo> _ </mo> </mover> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;(&quot;, RowBox[List[RowBox[List[RowBox[List[OverscriptBox[SubscriptBox[&quot;n&quot;, &quot;1&quot;], &quot;_&quot;], &quot;+&quot;, OverscriptBox[SubscriptBox[&quot;n&quot;, &quot;2&quot;], &quot;_&quot;], &quot;+&quot;, &quot;\[Ellipsis]&quot;, &quot;+&quot;, OverscriptBox[SubscriptBox[&quot;n&quot;, &quot;m&quot;], &quot;_&quot;]]], &quot;;&quot;, OverscriptBox[SubscriptBox[&quot;n&quot;, &quot;1&quot;], &quot;_&quot;]]], &quot;,&quot;, OverscriptBox[SubscriptBox[&quot;n&quot;, &quot;2&quot;], &quot;_&quot;], &quot;,&quot;, &quot;\[Ellipsis]&quot;, &quot;,&quot;, OverscriptBox[SubscriptBox[&quot;n&quot;, &quot;m&quot;], &quot;_&quot;]]], &quot;)&quot;]], Multinomial, Rule[Editable, True]] </annotation> </semantics> <mo> &#10869; </mo> <mover> <semantics> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> + </mo> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> + </mo> <mo> &#8230; </mo> <mo> + </mo> <msub> <mi> n </mi> <mi> m </mi> </msub> </mrow> <mo> ; </mo> <msub> <mi> n </mi> <mn> 1 </mn> </msub> </mrow> <mo> , </mo> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> m </mi> </msub> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;(&quot;, RowBox[List[RowBox[List[RowBox[List[SubscriptBox[&quot;n&quot;, &quot;1&quot;], &quot;+&quot;, SubscriptBox[&quot;n&quot;, &quot;2&quot;], &quot;+&quot;, &quot;\[Ellipsis]&quot;, &quot;+&quot;, SubscriptBox[&quot;n&quot;, &quot;m&quot;]]], &quot;;&quot;, SubscriptBox[&quot;n&quot;, &quot;1&quot;]]], &quot;,&quot;, SubscriptBox[&quot;n&quot;, &quot;2&quot;], &quot;,&quot;, &quot;\[Ellipsis]&quot;, &quot;,&quot;, SubscriptBox[&quot;n&quot;, &quot;m&quot;]]], &quot;)&quot;]], Multinomial, Rule[Editable, True]] </annotation> </semantics> <mo> _ </mo> </mover> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Multinomial </ci> <apply> <ci> OverBar </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <ci> OverBar </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 2 </cn> </apply> </apply> <ci> &#8230; </ci> <apply> <ci> OverBar </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> m </ci> </apply> </apply> </apply> <apply> <ci> OverBar </ci> <apply> <ci> Multinomial </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 2 </cn> </apply> <ci> &#8230; </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> m </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Multinomial", "[", RowBox[List[RowBox[List["Conjugate", "[", SubscriptBox["n_", "1"], "]"]], ",", RowBox[List["Conjugate", "[", SubscriptBox["n_", "2"], "]"]], ",", "\[Ellipsis]_", ",", RowBox[List["Conjugate", "[", SubscriptBox["n_", "m_"], "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Conjugate", "[", RowBox[List["Multinomial", "[", RowBox[List[SubscriptBox["nn", "1"], ",", SubscriptBox["nn", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["nn", "m"]]], "]"]], "]"]]]]]]


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





2001-10-29