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NevilleThetaS




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.12.16.0001.01









  


  








Input Form





NevilleThetaS[EllipticK[m] - z, m] == NevilleThetaC[z, m]/(1 - m)^4^(-1)








Standard Form





Cell[BoxData[RowBox[List[" ", RowBox[List[RowBox[List["NevilleThetaS", "[", RowBox[List[RowBox[List[RowBox[List["EllipticK", "[", "m", "]"]], "-", "z"]], ",", "m"]], "]"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "m"]], ")"]], RowBox[List[RowBox[List["-", "1"]], "/", "4"]]], RowBox[List["NevilleThetaC", "[", 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> s </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mrow> <mi> K </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> m </mi> <mo> ) </mo> </mrow> <mo> - </mo> <mi> z </mi> </mrow> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mfrac> <mn> 1 </mn> <mroot> <mrow> <mn> 1 </mn> <mo> - </mo> <mi> m </mi> </mrow> <mn> 4 </mn> </mroot> </mfrac> <mo> &#8290; </mo> <mrow> <msub> <mi> &#977; </mi> <mi> c </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> NevilleThetaS </ci> <apply> <plus /> <apply> <ci> EllipticK </ci> <ci> m </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <ci> m </ci> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <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> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <ci> NevilleThetaC </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["NevilleThetaS", "[", RowBox[List[RowBox[List[RowBox[List["EllipticK", "[", "m_", "]"]], "-", "z_"]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "m"]], ")"]], RowBox[List[RowBox[List["-", "1"]], "/", "4"]]], " ", RowBox[List["NevilleThetaC", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]


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





2001-10-29