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http://functions.wolfram.com/06.19.02.0004.01
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Beta[z, -n, b] == ComplexInfinity /;
n == 0 || (Element[n, Integers] && n > 0 &&
!(Element[b, Integers] && b > 0 && b <= n))
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Beta", "[", RowBox[List["z", ",", RowBox[List["-", "n"]], ",", "b"]], "]"]], "\[Equal]", InterpretationBox["ComplexInfinity", DirectedInfinity[]]]], "/;", RowBox[List[RowBox[List["n", "\[Equal]", "0"]], "\[Or]", RowBox[List["(", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]], "\[And]", RowBox[List["Not", "[", RowBox[List[RowBox[List["b", "\[Element]", "Integers"]], "\[And]", RowBox[List["b", ">", "0"]], "\[And]", RowBox[List["b", "\[LessEqual]", "n"]]]], "]"]]]], ")"]]]]]]]]
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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> Β </mi> <annotation-xml encoding='MathML-Content'> <ci> Beta </ci> </annotation-xml> </semantics> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <mi> n </mi> </mrow> <mo> , </mo> <mi> b </mi> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> n </mi> <mo>  </mo> <mn> 0 </mn> </mrow> <mo> ∨ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> n </mi> <mo> ∈ </mo> <msup> <mi> ℕ </mi> <mo> + </mo> </msup> </mrow> <mo> ∧ </mo> <mrow> <mo> ¬ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> b </mi> <mo> ∈ </mo> <msup> <mi> ℕ </mi> <mo> + </mo> </msup> </mrow> <mo> ∧ </mo> <mrow> <mi> b </mi> <mo> ≤ </mo> <mi> n </mi> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> Beta </ci> <ci> z </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> n </ci> </apply> <ci> b </ci> </apply> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> <apply> <or /> <apply> <eq /> <ci> n </ci> <cn type='integer'> 0 </cn> </apply> <apply> <and /> <apply> <in /> <ci> n </ci> <apply> <ci> SuperPlus </ci> <ci> ℕ </ci> </apply> </apply> <apply> <not /> <apply> <and /> <apply> <in /> <ci> b </ci> <apply> <ci> SuperPlus </ci> <ci> ℕ </ci> </apply> </apply> <apply> <leq /> <ci> b </ci> <ci> n </ci> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Beta", "[", RowBox[List["z_", ",", RowBox[List["-", "n_"]], ",", "b_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["ComplexInfinity", "/;", RowBox[List[RowBox[List["n", "\[Equal]", "0"]], "||", RowBox[List["(", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]], "&&", RowBox[List["!", RowBox[List["(", RowBox[List[RowBox[List["b", "\[Element]", "Integers"]], "&&", RowBox[List["b", ">", "0"]], "&&", RowBox[List["b", "\[LessEqual]", "n"]]]], ")"]]]]]], ")"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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