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variants of this functions
NorlundB




Mathematica Notation

Traditional Notation









Polynomials > NorlundB[n,α] > Specific values > Specialized values > For fixed z





http://functions.wolfram.com/05.16.03.0011.01









  


  








Input Form





NorlundB[7, z] == (z^2 (16 + 42 z - 7 z^2 - 105 z^3 + 63 z^4 - 9 z^5))/1152








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["NorlundB", "[", RowBox[List["7", ",", "z"]], "]"]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["16", "+", RowBox[List["42", " ", "z"]], "-", RowBox[List["7", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["105", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["63", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["9", " ", SuperscriptBox["z", "5"]]]]], ")"]]]], "1152"]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msubsup> <semantics> <mi> B </mi> <annotation encoding='Mathematica'> TagBox[&quot;B&quot;, NorlundB] </annotation> </semantics> <mn> 7 </mn> <mrow> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </msubsup> <mo> &#10869; </mo> <mfrac> <mrow> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mn> 9 </mn> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 63 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 105 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 42 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> + </mo> <mn> 16 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 1152 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> NorlundB </ci> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> -9 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 63 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 105 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 42 </cn> <ci> z </ci> </apply> <cn type='integer'> 16 </cn> </apply> <apply> <power /> <cn type='integer'> 1152 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["NorlundB", "[", RowBox[List["7", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["16", "+", RowBox[List["42", " ", "z"]], "-", RowBox[List["7", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["105", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["63", " ", SuperscriptBox["z", "4"]]], "-", RowBox[List["9", " ", SuperscriptBox["z", "5"]]]]], ")"]]]], "1152"]]]]]


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





2007-05-02