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NevilleThetaD




Mathematica Notation

Traditional Notation









Elliptic Functions > NevilleThetaD[z,m] > General characteristics > Symmetries and periodicities > Periodicity





http://functions.wolfram.com/09.10.04.0005.01









  


  








Input Form





NevilleThetaD[z + 2 r EllipticK[m], m] == NevilleThetaD[z, m] /; Element[r, Integers]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["NevilleThetaD", "[", RowBox[List[RowBox[List["z", "+", RowBox[List["2", "r", " ", RowBox[List["EllipticK", "[", "m", "]"]]]]]], ",", "m"]], "]"]], "\[Equal]", RowBox[List["NevilleThetaD", "[", RowBox[List["z", ",", "m"]], "]"]]]], "/;", RowBox[List["r", "\[Element]", "Integers"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <mi> &#977; </mi> <mi> d </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> + </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> r </mi> <mo> &#8290; </mo> <mrow> <mi> K </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> m </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <msub> <mi> &#977; </mi> <mi> d </mi> </msub> <mo> ( </mo> <mrow> <mi> z </mi> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> r </mi> <mo> &#8712; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> NevilleThetaD </ci> <apply> <plus /> <ci> z </ci> <apply> <times /> <cn type='integer'> 2 </cn> <ci> r </ci> <apply> <ci> EllipticK </ci> <ci> m </ci> </apply> </apply> </apply> <ci> m </ci> </apply> <apply> <ci> NevilleThetaD </ci> <ci> z </ci> <ci> m </ci> </apply> </apply> <apply> <in /> <ci> r </ci> <integers /> </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["2", " ", "r_", " ", RowBox[List["EllipticK", "[", "m_", "]"]]]]]], ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["NevilleThetaD", "[", RowBox[List["z", ",", "m"]], "]"]], "/;", RowBox[List["r", "\[Element]", "Integers"]]]]]]]]


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





2001-10-29