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http://functions.wolfram.com/10.09.04.0003.01
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PolyLog[\[Nu], p, 1] == PolyLog[p, \[Nu], 1] /;
Element[\[Nu], Integers] && \[Nu] > 0 && Element[p, Integers] && p > 0
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "p", ",", "1"]], "]"]], "\[Equal]", RowBox[List["PolyLog", "[", RowBox[List["p", ",", "\[Nu]", ",", "1"]], "]"]]]], "/;", RowBox[List[RowBox[List["\[Nu]", "\[Element]", "Integers"]], "\[And]", RowBox[List["\[Nu]", ">", "0"]], "\[And]", RowBox[List["p", "\[Element]", "Integers"]], "\[And]", RowBox[List["p", ">", "0"]]]]]]]]
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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> <mrow> <mrow> <msub> <semantics> <mi> S </mi> <annotation-xml encoding='MathML-Content'> <ci> PolyLog </ci> </annotation-xml> </semantics> <mrow> <mi> ν </mi> <mo> , </mo> <mi> p </mi> </mrow> </msub> <mo> ( </mo> <mn> 1 </mn> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <msub> <semantics> <mi> S </mi> <annotation-xml encoding='MathML-Content'> <ci> PolyLog </ci> </annotation-xml> </semantics> <mrow> <mi> p </mi> <mo> , </mo> <mn> 1 </mn> </mrow> </msub> <mo> ( </mo> <mn> 1 </mn> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> ν </mi> <mo> ∈ </mo> <msup> <mi> ℕ </mi> <mo> + </mo> </msup> </mrow> <mo> ∧ </mo> <mrow> <mi> p </mi> <mo> ∈ </mo> <msup> <mi> ℕ </mi> <mo> + </mo> </msup> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> PolyLog </ci> <ci> ν </ci> <ci> p </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> PolyLog </ci> <ci> p </ci> <cn type='integer'> 1 </cn> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <and /> <apply> <in /> <ci> ν </ci> <apply> <ci> SuperPlus </ci> <ci> ℕ </ci> </apply> </apply> <apply> <in /> <ci> p </ci> <apply> <ci> SuperPlus </ci> <ci> ℕ </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyLog", "[", RowBox[List["\[Nu]_", ",", "p_", ",", "1"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["p", ",", "\[Nu]", ",", "1"]], "]"]], "/;", RowBox[List[RowBox[List["\[Nu]", "\[Element]", "Integers"]], "&&", RowBox[List["\[Nu]", ">", "0"]], "&&", RowBox[List["p", "\[Element]", "Integers"]], "&&", RowBox[List["p", ">", "0"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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