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variants of this functions
PolyLog




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > PolyLog[2,z] > Representations through more general functions > Through hypergeometric functions of two variables





http://functions.wolfram.com/10.07.26.0002.01









  


  








Input Form





PolyLog[2, z] + PolyLog[2, w] - PolyLog[2, z + w - z w] == ((z w)/2) HypergeometricPFQ[{{}, {1, 1}, {1, 1}}, {{3}, {}, {}}, z, w]








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["PolyLog", "[", RowBox[List["2", ",", "z_"]], "]"]], "+", RowBox[List["PolyLog", "[", RowBox[List["2", ",", "w_"]], "]"]], "-", RowBox[List["PolyLog", "[", RowBox[List["2", ",", RowBox[List["z_", "+", "w_", "-", RowBox[List["z_", " ", "w_"]]]]]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["z", " ", "w"]], ")"]], " ", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "}"]], ",", RowBox[List["{", RowBox[List["1", ",", "1"]], "}"]], ",", RowBox[List["{", RowBox[List["1", ",", "1"]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "3", "}"]], ",", RowBox[List["{", "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", "z", ",", "w"]], "]"]]]]]]]]


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





2001-10-29