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http://functions.wolfram.com/10.08.29.0001.01
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PolyLog[\[Nu], x] <= PolyLog[\[Mu], x] /; Element[\[Nu], Reals] &&
Element[\[Mu], Reals] && \[Nu] > \[Mu] && Element[x, Reals] &&
Inequality[-Infinity, Less, x, LessEqual, 1]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "x"]], "]"]], "\[LessEqual]", RowBox[List["PolyLog", "[", RowBox[List["\[Mu]", ",", "x"]], "]"]]]], "/;", RowBox[List[RowBox[List["\[Nu]", "\[Element]", "Reals"]], "\[And]", RowBox[List["\[Mu]", "\[Element]", "Reals"]], "\[And]", RowBox[List["\[Nu]", ">", "\[Mu]"]], "\[And]", RowBox[List["x", "\[Element]", "Reals"]], "\[And]", RowBox[List[RowBox[List["-", "\[Infinity]"]], "<", "x", "\[LessEqual]", "1"]]]]]]]]
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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> Li </mi> <annotation-xml encoding='MathML-Content'> <ci> PolyLog </ci> </annotation-xml> </semantics> <mi> ν </mi> </msub> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> ≤ </mo> <mrow> <msub> <semantics> <mi> Li </mi> <annotation-xml encoding='MathML-Content'> <ci> PolyLog </ci> </annotation-xml> </semantics> <mi> μ </mi> </msub> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> ν </mi> <mo> ∈ </mo> <semantics> <mi> ℝ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalR]", Function[Reals]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mi> μ </mi> <mo> ∈ </mo> <semantics> <mi> ℝ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalR]", Function[Reals]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mi> ν </mi> <mo> > </mo> <mi> μ </mi> </mrow> <mo> ∧ </mo> <mrow> <mi> x </mi> <mo> ∈ </mo> <semantics> <mi> ℝ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalR]", Function[Reals]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mrow> <mo> - </mo> <mi> ∞ </mi> </mrow> <mo> < </mo> <mi> x </mi> <mo> ≤ </mo> <mn> 1 </mn> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <leq /> <apply> <ci> PolyLog </ci> <ci> ν </ci> <ci> x </ci> </apply> <apply> <ci> PolyLog </ci> <ci> μ </ci> <ci> x </ci> </apply> </apply> <apply> <and /> <apply> <in /> <ci> ν </ci> <reals /> </apply> <apply> <in /> <ci> μ </ci> <reals /> </apply> <apply> <gt /> <ci> ν </ci> <ci> μ </ci> </apply> <apply> <in /> <ci> x </ci> <reals /> </apply> <apply> <ci> Inequality </ci> <apply> <times /> <cn type='integer'> -1 </cn> <infinity /> </apply> <lt /> <ci> x </ci> <leq /> <cn type='integer'> 1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["\[Nu]", ",", "x"]], "]"]], "\[LessEqual]", RowBox[List["PolyLog", "[", RowBox[List["\[Mu]", ",", "x"]], "]"]]]], "/;", RowBox[List[RowBox[List["\[Nu]", "\[Element]", "Reals"]], "&&", RowBox[List["\[Mu]", "\[Element]", "Reals"]], "&&", RowBox[List["\[Nu]", ">", "\[Mu]"]], "&&", RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List[RowBox[List["-", "\[Infinity]"]], "<", "x", "\[LessEqual]", "1"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
