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http://functions.wolfram.com/07.36.04.0001.01
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NonTerminatingHypergeometricSeriesQ[{Subscript[a, 1], Subscript[a, 2]}] ==
( !((Element[-Subscript[a, 1], Integers] && -Subscript[a, 1] >= 0) ||
(Element[-Subscript[a, 2], Integers] && -Subscript[a, 2] >= 0)))
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Cell[BoxData[RowBox[List[RowBox[List["NonTerminatingHypergeometricSeriesQ", "[", RowBox[List["{", RowBox[List[SubscriptBox["a", "1"], ",", SubscriptBox["a", "2"]]], "}"]], "]"]], "\[Equal]", RowBox[List["Not", "[", RowBox[List[RowBox[List[RowBox[List["Element", "[", RowBox[List[RowBox[List["-", SubscriptBox["a", "1"]]], ",", "Integers"]], "]"]], "\[And]", RowBox[List[RowBox[List["-", SubscriptBox["a", "1"]]], "\[GreaterEqual]", "0"]]]], "\[Or]", RowBox[List[RowBox[List["Element", "[", RowBox[List[RowBox[List["-", SubscriptBox["a", "2"]]], ",", "Integers"]], "]"]], "\[And]", RowBox[List[RowBox[List["-", SubscriptBox["a", "2"]]], "\[GreaterEqual]", "0"]]]]]], "]"]]]]]]
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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> <mi> 𝒩𝒯 </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mo> { </mo> <mrow> <msub> <mi> a </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> a </mi> <mn> 2 </mn> </msub> </mrow> <mo> } </mo> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mo> ¬ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> - </mo> <msub> <mi> a </mi> <mn> 1 </mn> </msub> </mrow> <mo> ∈ </mo> <mi> ℕ </mi> </mrow> <mo> ∨ </mo> <mrow> <mrow> <mo> - </mo> <msub> <mi> a </mi> <mn> 2 </mn> </msub> </mrow> <mo> ∈ </mo> <mi> ℕ </mi> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> 𝒩𝒯 </ci> <list> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 2 </cn> </apply> </list> </apply> <apply> <not /> <apply> <or /> <apply> <in /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 1 </cn> </apply> </apply> <ci> ℕ </ci> </apply> <apply> <in /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> Subscript </ci> <ci> a </ci> <cn type='integer'> 2 </cn> </apply> </apply> <ci> ℕ </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["NonTerminatingHypergeometricSeriesQ", "[", RowBox[List["{", RowBox[List[SubscriptBox["a_", "1"], ",", SubscriptBox["a_", "2"]]], "}"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["!", RowBox[List["(", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", SubscriptBox["aa", "1"]]], "\[Element]", "Integers"]], "&&", RowBox[List[RowBox[List["-", SubscriptBox["aa", "1"]]], "\[GreaterEqual]", "0"]]]], ")"]], "||", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", SubscriptBox["aa", "2"]]], "\[Element]", "Integers"]], "&&", RowBox[List[RowBox[List["-", SubscriptBox["aa", "2"]]], "\[GreaterEqual]", "0"]]]], ")"]]]], ")"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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