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NevilleThetaD




Mathematica Notation

Traditional Notation









Elliptic Functions > NevilleThetaD[z,m] > Transformations > Transformations and argument simplifications > Argument involving basic arithmetic operations





http://functions.wolfram.com/09.10.16.0001.01









  


  








Input Form





NevilleThetaD[z + EllipticK[m], m] == (1 - m)^(1/4) NevilleThetaN[z, m]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["NevilleThetaD", "[", RowBox[List[RowBox[List["z", "+", " ", RowBox[List["EllipticK", "[", "m", "]"]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "m"]], ")"]], RowBox[List["1", "/", "4"]]], RowBox[List["NevilleThetaN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]








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> <mi> &#977; </mi> <mi> d </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> + </mo> <mrow> <mi> K </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> m </mi> <mo> ) </mo> </mrow> </mrow> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mroot> <mrow> <mn> 1 </mn> <mo> - </mo> <mi> m </mi> </mrow> <mn> 4 </mn> </mroot> <mo> &#8290; </mo> <mrow> <msub> <mi> &#977; </mi> <mi> n </mi> </msub> <mo> ( </mo> <mrow> <mi> z </mi> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> NevilleThetaD </ci> <apply> <plus /> <ci> z </ci> <apply> <ci> EllipticK </ci> <ci> m </ci> </apply> </apply> <ci> m </ci> </apply> <apply> <times /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> m </ci> </apply> </apply> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <apply> <ci> NevilleThetaN </ci> <ci> z </ci> <ci> m </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["NevilleThetaD", "[", RowBox[List[RowBox[List["z_", "+", RowBox[List["EllipticK", "[", "m_", "]"]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "m"]], ")"]], RowBox[List["1", "/", "4"]]], " ", RowBox[List["NevilleThetaN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]


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





2001-10-29