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variants of this functions
Zeta




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > Zeta[s,a] > Representations through more general functions > Through Meijer G > Classical cases for the direct function itself > For zeta^(s,a)





http://functions.wolfram.com/10.02.26.0003.01









  


  








Input Form





ZetaClassical[s, a] == MeijerG[{{0, 1 - Subscript[a, 1], \[Ellipsis], 1 - Subscript[a, s]}, {}}, {{0}, {-Subscript[a, 1], \[Ellipsis], -Subscript[a, s]}}, -1] /; Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, s] == a && Element[s, Integers] && s > 0








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ZetaClassical", "[", RowBox[List["s_", ",", "a_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["0", ",", RowBox[List["1", "-", SubscriptBox["aa", "1"]]], ",", "\[Ellipsis]", ",", RowBox[List["1", "-", SubscriptBox["aa", "s"]]]]], "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["-", SubscriptBox["aa", "1"]]], ",", "\[Ellipsis]", ",", RowBox[List["-", SubscriptBox["aa", "s"]]]]], "}"]]]], "}"]], ",", RowBox[List["-", "1"]]]], "]"]], "/;", RowBox[List[RowBox[List[SubscriptBox["aa", "1"], "\[Equal]", SubscriptBox["a", "2"], "\[Equal]", "\[Ellipsis]", "\[Equal]", SubscriptBox["aa", "s"], "\[Equal]", "a"]], "&&", RowBox[List["s", "\[Element]", "Integers"]], "&&", RowBox[List["s", ">", "0"]]]]]]]]]]


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





2001-10-29