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http://functions.wolfram.com/09.17.03.0013.01
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WeierstrassZeta[z, WeierstrassInvariants[{ComplexInfinity,
ComplexInfinity}]] == 1/z
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Cell[BoxData[RowBox[List[RowBox[List["WeierstrassZeta", "[", RowBox[List["z", ",", RowBox[List["WeierstrassInvariants", "[", RowBox[List["{", RowBox[List["ComplexInfinity", ",", "ComplexInfinity"]], "}"]], "]"]]]], "]"]], "\[Equal]", FractionBox["1", "z"]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mi> ζ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> ; </mo> <mrow> <msub> <mi> g </mi> <mn> 2 </mn> </msub> <mo> ( </mo> <mrow> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> <mo> , </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> , </mo> <mrow> <msub> <mi> g </mi> <mn> 3 </mn> </msub> <mo> ( </mo> <mrow> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> <mo> , </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <annotation encoding='Mathematica'> TagBox[RowBox[List["\[Zeta]", "(", RowBox[List[RowBox[List[TagBox["z", Rule[Editable, True]], ";", TagBox[RowBox[List[SubscriptBox["g", "2"], "(", RowBox[List[OverscriptBox["\[Infinity]", "~"], ",", OverscriptBox["\[Infinity]", "~"]]], ")"]], Rule[Editable, True]]]], ",", RowBox[List[TagBox[SubscriptBox["g", "3"], Rule[Editable, True]], "(", RowBox[List[OverscriptBox["\[Infinity]", "~"], ",", OverscriptBox["\[Infinity]", "~"]]], ")"]]]], ")"]], InterpretTemplate[Function[WeierstrassZeta[Slot[1], List[Slot[2], Slot[3]]]]]] </annotation> </semantics> <mo> ⩵ </mo> <mfrac> <mn> 1 </mn> <mi> z </mi> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> WeierstrassZeta </ci> <ci> z </ci> <list> <apply> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> <apply> <ci> Subscript </ci> <ci> g </ci> <cn type='integer'> 3 </cn> </apply> </list> </apply> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["WeierstrassZeta", "[", RowBox[List["z_", ",", RowBox[List["WeierstrassInvariants", "[", RowBox[List["{", RowBox[List["ComplexInfinity", ",", "ComplexInfinity"]], "}"]], "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox["1", "z"]]]]] |
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Date Added to functions.wolfram.com (modification date)
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