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http://functions.wolfram.com/10.06.04.0002.01
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LerchPhi[Conjugate[z], Conjugate[s], Conjugate[a]] ==
Conjugate[LerchPhi[(Editable -> True)[z], (Editable -> True)[s],
(Editable -> True)[a]]] /; !IntervalMemberQ[Interval[{1, Infinity}], z]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LerchPhi", "[", RowBox[List[RowBox[List["Conjugate", "[", "z", "]"]], ",", RowBox[List["Conjugate", "[", "s", "]"]], ",", RowBox[List["Conjugate", "[", "a", "]"]]]], "]"]], "\[Equal]", RowBox[List["Conjugate", "[", RowBox[List["LerchPhi", "[", RowBox[List[TagBox["z", Rule[Editable, True]], ",", TagBox["s", Rule[Editable, True]], ",", TagBox["a", Rule[Editable, True]]]], "]"]], "]"]]]], "/;", RowBox[List["Not", "[", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List["1", ",", "\[Infinity]"]], "}"]], "]"]], ",", "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> <mrow> <mrow> <mi> Φ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <semantics> <mover> <mi> z </mi> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox["z", "_"], Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mover> <mi> s </mi> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox["s", "_"], Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mover> <mi> a </mi> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox["a", "_"], Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mover> <mrow> <mi> Φ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <semantics> <mi> z </mi> <annotation encoding='Mathematica'> TagBox["z", Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mi> s </mi> <annotation encoding='Mathematica'> TagBox["s", Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mi> a </mi> <annotation encoding='Mathematica'> TagBox["a", Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> _ </mo> </mover> </mrow> <mo> /; </mo> <mrow> <mi> z </mi> <mo> ∉ </mo> <mrow> <mo> ( </mo> <mrow> <mn> 1 </mn> <mo> , </mo> <mi> ∞ </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <mrow> <mi> Φ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <semantics> <mover> <mi> z </mi> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox["z", "_"], Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mover> <mi> s </mi> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox["s", "_"], Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mover> <mi> a </mi> <mo> _ </mo> </mover> <annotation encoding='Mathematica'> TagBox[OverscriptBox["a", "_"], Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mover> <mrow> <mi> Φ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <semantics> <mi> z </mi> <annotation encoding='Mathematica'> TagBox["z", Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mi> s </mi> <annotation encoding='Mathematica'> TagBox["s", Rule[Editable, True]] </annotation> </semantics> <mo> , </mo> <semantics> <mi> a </mi> <annotation encoding='Mathematica'> TagBox["a", Rule[Editable, True]] </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> _ </mo> </mover> </mrow> <mo> /; </mo> <mrow> <mi> z </mi> <mo> ∉ </mo> <mrow> <mo> ( </mo> <mrow> <mn> 1 </mn> <mo> , </mo> <mi> ∞ </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LerchPhi", "[", RowBox[List[RowBox[List["Conjugate", "[", "z_", "]"]], ",", RowBox[List["Conjugate", "[", "s_", "]"]], ",", RowBox[List["Conjugate", "[", "a_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Conjugate", "[", RowBox[List["LerchPhi", "[", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["Editable", "\[Rule]", "True"]], ")"]], "[", "z", "]"]], ",", RowBox[List[RowBox[List["(", RowBox[List["Editable", "\[Rule]", "True"]], ")"]], "[", "s", "]"]], ",", RowBox[List[RowBox[List["(", RowBox[List["Editable", "\[Rule]", "True"]], ")"]], "[", "a", "]"]]]], "]"]], "]"]], "/;", RowBox[List["!", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List["1", ",", "\[Infinity]"]], "}"]], "]"]], ",", "z"]], "]"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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