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WeierstrassZeta




Mathematica Notation

Traditional Notation









Elliptic Functions > WeierstrassZeta[z,{g2,g3}] > Specific values > Specialized values > For fixed z





http://functions.wolfram.com/09.17.03.0002.01









  


  








Input Form





WeierstrassZeta[z, {3, 1}] == z/2 + Sqrt[3/2] Cot[Sqrt[3/2] z]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["WeierstrassZeta", "[", RowBox[List["z", ",", RowBox[List["{", RowBox[List["3", ",", "1"]], "}"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["z", "2"], "+", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", RowBox[List["Cot", "[", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", "z"]], "]"]]]]]]]]]]








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> <mi> &#950; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ; </mo> <mn> 3 </mn> </mrow> <mo> , </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List[&quot;\[Zeta]&quot;, &quot;(&quot;, RowBox[List[RowBox[List[TagBox[&quot;z&quot;, Rule[Editable, True]], &quot;;&quot;, TagBox[&quot;3&quot;, Rule[Editable, True]]]], &quot;,&quot;, TagBox[&quot;1&quot;, Rule[Editable, True]]]], &quot;)&quot;]], InterpretTemplate[Function[WeierstrassZeta[Slot[1], List[Slot[2], Slot[3]]]]]] </annotation> </semantics> <mo> &#10869; </mo> <mrow> <mfrac> <mi> z </mi> <mn> 2 </mn> </mfrac> <mo> + </mo> <mrow> <msqrt> <mfrac> <mn> 3 </mn> <mn> 2 </mn> </mfrac> </msqrt> <mo> &#8290; </mo> <mrow> <mi> cot </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <msqrt> <mfrac> <mn> 3 </mn> <mn> 2 </mn> </mfrac> </msqrt> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> WeierstrassZeta </ci> <ci> z </ci> <list> <cn type='integer'> 3 </cn> <cn type='integer'> 1 </cn> </list> </apply> <apply> <plus /> <apply> <times /> <ci> z </ci> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <apply> <power /> <cn type='rational'> 3 <sep /> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <cot /> <apply> <times /> <apply> <power /> <cn type='rational'> 3 <sep /> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> z </ci> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["WeierstrassZeta", "[", RowBox[List["z_", ",", RowBox[List["{", RowBox[List["3", ",", "1"]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["z", "2"], "+", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", RowBox[List["Cot", "[", RowBox[List[SqrtBox[FractionBox["3", "2"]], " ", "z"]], "]"]]]]]]]]]]


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





2001-10-29