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http://functions.wolfram.com/06.05.25.0013.01
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Residue[(Product[Gamma[s + Subscript[a, k]], {k, 1, \[ScriptCapitalA]}]
Product[Gamma[Subscript[b, k] - s], {k, 1, \[ScriptCapitalB]}])/
(Product[Gamma[s + Subscript[c, k]], {k, 1, \[ScriptCapitalC]}]
Product[Gamma[Subscript[d, k] - s], {k, 1, \[ScriptCapitalD]}])/z^s,
{s, Subscript[b, 4] + l}] == GammaResidue[
{{Subscript[a, 1], \[Ellipsis], Subscript[a, \[ScriptCapitalA]]},
{Subscript[b, 1], \[Ellipsis], Subscript[b, \[ScriptCapitalB]]}},
{{Subscript[c, 1], \[Ellipsis], Subscript[c, \[ScriptCapitalC]]},
{Subscript[d, 1], \[Ellipsis], Subscript[d, \[ScriptCapitalD]]}},
{Subscript[b, 4], 4, l}, z] /; Element[Subscript[b, 2] - Subscript[b, 1],
Integers] && Subscript[b, 2] - Subscript[b, 1] >= 0 &&
Element[Subscript[b, 3] - Subscript[b, 2], Integers] &&
Subscript[b, 3] - Subscript[b, 2] >= 0 &&
Element[Subscript[b, 4] - Subscript[b, 3], Integers] && u >= 0 &&
Element[l, Integers] && l >= 0 &&
!Element[Subscript[b, j] - Subscript[b, 1], Integers] &&
5 <= j <= \[ScriptCapitalB] &&
!(Element[-Subscript[a, j] - Subscript[b, 1], Integers] &&
-Subscript[a, j] - Subscript[b, 1] >= 0) &&
1 <= j <= \[ScriptCapitalA] &&
!(Element[Subscript[d, j] - Subscript[b, 4] - l, Integers] &&
Subscript[d, j] - Subscript[b, 4] - l >= 0) &&
1 <= j <= \[ScriptCapitalD] &&
!(Element[-Subscript[c, j] - Subscript[b, 4] - l, Integers] &&
-Subscript[c, j] - Subscript[b, 4] - l >= 0) &&
1 <= j <= \[ScriptCapitalC]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Residue", "[", RowBox[List[RowBox[List[FractionBox[RowBox[List[RowBox[List["(", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[ScriptCapitalA]"], RowBox[List["Gamma", "[", RowBox[List["s", "+", SubscriptBox["a", "k"]]], "]"]]]], ")"]], " ", RowBox[List["(", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[ScriptCapitalB]"], RowBox[List["Gamma", "[", RowBox[List[SubscriptBox["b", "k"], "-", "s"]], "]"]]]], ")"]]]], RowBox[List[RowBox[List["(", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[ScriptCapitalC]"], RowBox[List["Gamma", "[", RowBox[List["s", "+", SubscriptBox["c", "k"]]], "]"]]]], ")"]], " ", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[ScriptCapitalD]"], RowBox[List["Gamma", "[", RowBox[List[SubscriptBox["d", "k"], "-", "s"]], "]"]]]]]]], SuperscriptBox["z", RowBox[List["-", "s"]]]]], ",", RowBox[List["{", RowBox[List["s", ",", RowBox[List[SubscriptBox["b", "4"], "+", "l"]]]], "}"]]]], "]"]], " ", "\[Equal]", RowBox[List["GammaResidue", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["a", "\[ScriptCapitalA]"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["b", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["b", "\[ScriptCapitalB]"]]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["c", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["c", "\[ScriptCapitalC]"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["d", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["d", "\[ScriptCapitalD]"]]], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["b", "4"], ",", "4", ",", "l"]], "}"]], ",", "z"]], "]"]]]], "/;", RowBox[List[RowBox[List[RowBox[List[SubscriptBox["b", "2"], "-", SubscriptBox["b", "1"]]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List[SubscriptBox["b", "2"], "-", SubscriptBox["b", "1"]]], "\[GreaterEqual]", "0"]], "\[And]", RowBox[List[RowBox[List[SubscriptBox["b", "3"], "-", SubscriptBox["b", "2"]]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List[SubscriptBox["b", "3"], "-", SubscriptBox["b", "2"]]], "\[GreaterEqual]", "0"]], "\[And]", RowBox[List[RowBox[List[SubscriptBox["b", "4"], "-", SubscriptBox["b", "3"]]], "\[Element]", "Integers"]], "\[And]", RowBox[List["u", "\[GreaterEqual]", "0"]], "\[And]", RowBox[List["l", "\[Element]", "Integers"]], "\[And]", RowBox[List["l", "\[GreaterEqual]", "0"]], "\[And]", RowBox[List["Not", "[", RowBox[List[RowBox[List[SubscriptBox["b", "j"], "-", SubscriptBox["b", "1"]]], "\[Element]", "Integers"]], "]"]], "\[And]", RowBox[List["5", "\[LessEqual]", "j", "\[LessEqual]", "\[ScriptCapitalB]"]], "\[And]", RowBox[List["Not", "[", RowBox[List[RowBox[List[RowBox[List[RowBox[List["-", SubscriptBox["a", "j"]]], "-", SubscriptBox["b", "1"]]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List[RowBox[List["-", SubscriptBox["a", "j"]]], "-", SubscriptBox["b", "1"]]], "\[GreaterEqual]", "0"]]]], "]"]], "\[And]", RowBox[List["1", "\[LessEqual]", "j", "\[LessEqual]", "\[ScriptCapitalA]"]], "\[And]", RowBox[List["Not", "[", RowBox[List[RowBox[List[RowBox[List[SubscriptBox["d", "j"], "-", SubscriptBox["b", "4"], "-", "l"]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List[SubscriptBox["d", "j"], "-", SubscriptBox["b", "4"], "-", "l"]], "\[GreaterEqual]", "0"]]]], "]"]], "\[And]", RowBox[List["1", "\[LessEqual]", "j", "\[LessEqual]", "\[ScriptCapitalD]"]], "\[And]", RowBox[List["Not", "[", RowBox[List[RowBox[List[RowBox[List[RowBox[List["-", SubscriptBox["c", "j"]]], "-", SubscriptBox["b", "4"], "-", "l"]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List[RowBox[List["-", SubscriptBox["c", "j"]]], "-", SubscriptBox["b", "4"], "-", "l"]], "\[GreaterEqual]", "0"]]]], "]"]], "\[And]", RowBox[List["1", "\[LessEqual]", "j", "\[LessEqual]", "\[ScriptCapitalC]"]]]]]]]]
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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> <mrow> <msub> <mi> res </mi> <mi> s </mi> </msub> <mo> ( </mo> <mrow> <mfrac> <mrow> <mrow> <mo> ( </mo> <mrow> <munderover> <mo> ∏ </mo> <mrow> <mi> k </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mi> 𝒜 </mi> </munderover> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> s </mi> <mo> + </mo> <msub> <mi> a </mi> <mi> k </mi> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <munderover> <mo> ∏ </mo> <mrow> <mi> k </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mi> ℬ </mi> </munderover> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <msub> <mi> b </mi> <mi> k </mi> </msub> <mo> - </mo> <mi> s </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <munderover> <mo> ∏ </mo> <mrow> <mi> k </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mi> 𝒞 </mi> </munderover> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> s </mi> <mo> + </mo> <msub> <mi> c </mi> <mi> k </mi> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <munderover> <mo> ∏ </mo> <mrow> <mi> k </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mi> 𝒟 </mi> </munderover> <mrow> <mi> Γ </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <msub> <mi> d </mi> <mi> k </mi> </msub> <mo> - </mo> <mi> s </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mfrac> <mo> ⁢ </mo> <msup> <mi> z </mi> <mrow> <mo> - </mo> <mi> s </mi> </mrow> </msup> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <msub> <mi> b </mi> <mn> 4 </mn> </msub> <mo> + </mo> <mi> l </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ⩵ </mo> <mrow> <mi> ΓRes </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi> a </mi> <mn> 1 </mn> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <mrow> <msub> <mi> a </mi> <mi> 𝒜 </mi> </msub> <mo> ; </mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi> b </mi> <mn> 1 </mn> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <mrow> <msub> <mi> b </mi> <mi> ℬ </mi> </msub> <mo> ; </mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi> c </mi> <mi>  </mi> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <mrow> <msub> <mi> c </mi> <mi> 𝒞 </mi> </msub> <mo> ; </mo> </mrow> </mrow> </mtd> <mtd> <mrow> <msub> <mi> d </mi> <mn> 1 </mn> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <mrow> <msub> <mi> d </mi> <mi> 𝒟 </mi> </msub> <mo> ; </mo> </mrow> </mrow> </mtd> </mtr> </mtable> <mo> ⁢ </mo> <msub> <mi> b </mi> <mn> 4 </mn> </msub> </mrow> <mo> , </mo> <mn> 4 </mn> <mo> , </mo> <mrow> <mi> l </mi> <mo> ; </mo> <mi> z </mi> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mrow> <msub> <mi> b </mi> <mn> 2 </mn> </msub> <mo> - </mo> <msub> <mi> b </mi> <mn> 1 </mn> </msub> </mrow> <mo> ∈ </mo> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mrow> <msub> <mi> b </mi> <mn> 3 </mn> </msub> <mo> - </mo> <msub> <mi> b </mi> <mn> 2 </mn> </msub> </mrow> <mo> ∈ </mo> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mrow> <msub> <mi> b </mi> <mn> 4 </mn> </msub> <mo> - </mo> <msub> <mi> b </mi> <mn> 3 </mn> </msub> </mrow> <mo> ∈ </mo> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mi> l </mi> <mo> ∈ </mo> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mrow> <msub> <mi> b </mi> <mi> k </mi> </msub> <mo> - </mo> <msub> <mi> b </mi> <mn> 1 </mn> </msub> </mrow> <mo> ∉ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mn> 5 </mn> <mo> ≤ </mo> <mi> j </mi> <mo> ≤ </mo> <mi> ℬ </mi> </mrow> <mo> ∧ </mo> <mrow> <mrow> <mrow> <mo> - </mo> <msub> <mi> a </mi> <mi> j </mi> </msub> </mrow> <mo> - </mo> <msub> <mi> b </mi> <mn> 1 </mn> </msub> </mrow> <mo> ∉ </mo> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mn> 1 </mn> <mo> ≤ </mo> <mi> j </mi> <mo> ≤ </mo> <mi> 𝒜 </mi> </mrow> <mo> ∧ </mo> <mrow> <mrow> <msub> <mi> d </mi> <mi> j </mi> </msub> <mo> - </mo> <msub> <mi> b </mi> <mn> 4 </mn> </msub> <mo> - </mo> <mi> l </mi> </mrow> <mo> ∉ </mo> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mn> 1 </mn> <mo> ≤ </mo> <mi> j </mi> <mo> ≤ </mo> <mi> 𝒟 </mi> </mrow> <mo> ∧ </mo> <mrow> <mrow> <mrow> <mo> - </mo> <msub> <mi> c </mi> <mi> j </mi> </msub> </mrow> <mo> - </mo> <msub> <mi> b </mi> <mn> 4 </mn> </msub> <mo> - </mo> <mi> l </mi> </mrow> <mo> ∉ </mo> <semantics> <mi> ℕ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalN]", Function[Integers]] </annotation> </semantics> </mrow> <mo> ∧ </mo> <mrow> <mn> 1 </mn> <mo> ≤ </mo> <mi> j </mi> <mo> ≤ </mo> <mi> 𝒞 </mi> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> FormBox </ci> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> res </ms> <ms> s </ms> </apply> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> FractionBox </ci> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> UnderoverscriptBox </ci> <ms> ∏ </ms> <apply> <ci> RowBox </ci> <list> <ms> k </ms> <ms> = </ms> <ms> 1 </ms> </list> </apply> <ms> 𝒜 </ms> </apply> <apply> <ci> RowBox </ci> <list> <ms> Γ </ms> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <ms> s </ms> <ms> + </ms> <apply> <ci> SubscriptBox </ci> <ms> a </ms> <ms> k </ms> </apply> </list> </apply> <ms> ) </ms> </list> </apply> </list> </apply> <ms> ) </ms> </list> </apply> <apply> <ci> RowBox </ci> <list> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> UnderoverscriptBox </ci> <ms> ∏ </ms> <apply> <ci> RowBox </ci> <list> <ms> k </ms> <ms> = </ms> <ms> 1 </ms> </list> </apply> <ms> ℬ </ms> </apply> <apply> <ci> RowBox </ci> <list> <ms> Γ </ms> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> k </ms> </apply> <ms> - </ms> <ms> s </ms> </list> </apply> <ms> ) </ms> </list> </apply> </list> </apply> <ms> ) </ms> </list> </apply> </list> </apply> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> UnderoverscriptBox </ci> <ms> ∏ </ms> <apply> <ci> RowBox </ci> <list> <ms> k </ms> <ms> = </ms> <ms> 1 </ms> </list> </apply> <ms> 𝒞 </ms> </apply> <apply> <ci> RowBox </ci> <list> <ms> Γ </ms> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <ms> s </ms> <ms> + </ms> <apply> <ci> SubscriptBox </ci> <ms> c </ms> <ms> k </ms> </apply> </list> </apply> <ms> ) </ms> </list> </apply> </list> </apply> <ms> ) </ms> </list> </apply> <apply> <ci> RowBox </ci> <list> <apply> <ci> UnderoverscriptBox </ci> <ms> ∏ </ms> <apply> <ci> RowBox </ci> <list> <ms> k </ms> <ms> = </ms> <ms> 1 </ms> </list> </apply> <ms> 𝒟 </ms> </apply> <apply> <ci> RowBox </ci> <list> <ms> Γ </ms> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> d </ms> <ms> k </ms> </apply> <ms> - </ms> <ms> s </ms> </list> </apply> <ms> ) </ms> </list> </apply> </list> </apply> </list> </apply> </apply> <apply> <ci> SuperscriptBox </ci> <ms> z </ms> <apply> <ci> RowBox </ci> <list> <ms> - </ms> <ms> s </ms> </list> </apply> </apply> </list> </apply> <ms> ) </ms> </list> </apply> <apply> <ci> RowBox </ci> <list> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 4 </ms> </apply> <ms> + </ms> <ms> l </ms> </list> </apply> <ms> ) </ms> </list> </apply> </list> </apply> <ms> ⩵ </ms> <apply> <ci> RowBox </ci> <list> <ms> ΓRes </ms> <ms> [ </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> GridBox </ci> <list> <list> <apply> <ci> ErrorBox </ci> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> a </ms> <ms> 1 </ms> </apply> <ms> , </ms> <ms> … </ms> <ms> , </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> a </ms> <ms> 𝒜 </ms> </apply> <ms> ; </ms> </list> </apply> </list> </apply> </apply> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 1 </ms> </apply> <ms> , </ms> <ms> … </ms> <ms> , </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> ℬ </ms> </apply> <ms> ; </ms> </list> </apply> </list> </apply> </list> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> c </ms> <ms>  </ms> </apply> <ms> , </ms> <ms> … </ms> <ms> , </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> c </ms> <ms> 𝒞 </ms> </apply> <ms> ; </ms> </list> </apply> </list> </apply> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> d </ms> <ms> 1 </ms> </apply> <ms> , </ms> <ms> … </ms> <ms> , </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> d </ms> <ms> 𝒟 </ms> </apply> <ms> ; </ms> </list> </apply> </list> </apply> </list> </list> </apply> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 4 </ms> </apply> </list> </apply> <ms> , </ms> <ms> 4 </ms> <ms> , </ms> <apply> <ci> RowBox </ci> <list> <ms> l </ms> <ms> ; </ms> <ms> z </ms> </list> </apply> <ms> ] </ms> </list> </apply> </list> </apply> <ms> /; </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 2 </ms> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 1 </ms> </apply> </list> </apply> <ms> ∈ </ms> <apply> <ci> TagBox </ci> <ms> ℕ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 3 </ms> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 2 </ms> </apply> </list> </apply> <ms> ∈ </ms> <apply> <ci> TagBox </ci> <ms> ℕ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 4 </ms> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 3 </ms> </apply> </list> </apply> <ms> ∈ </ms> <apply> <ci> TagBox </ci> <ms> ℕ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <ms> l </ms> <ms> ∈ </ms> <apply> <ci> TagBox </ci> <ms> ℕ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> k </ms> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 1 </ms> </apply> </list> </apply> <ms> ∉ </ms> <apply> <ci> TagBox </ci> <ms> ℤ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <ms> 5 </ms> <ms> ≤ </ms> <ms> j </ms> <ms> ≤ </ms> <ms> ℬ </ms> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> a </ms> <ms> j </ms> </apply> </list> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 1 </ms> </apply> </list> </apply> <ms> ∉ </ms> <apply> <ci> TagBox </ci> <ms> ℕ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <ms> 1 </ms> <ms> ≤ </ms> <ms> j </ms> <ms> ≤ </ms> <ms> 𝒜 </ms> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> SubscriptBox </ci> <ms> d </ms> <ms> j </ms> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 4 </ms> </apply> <ms> - </ms> <ms> l </ms> </list> </apply> <ms> ∉ </ms> <apply> <ci> TagBox </ci> <ms> ℕ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <ms> 1 </ms> <ms> ≤ </ms> <ms> j </ms> <ms> ≤ </ms> <ms> 𝒟 </ms> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <apply> <ci> RowBox </ci> <list> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> c </ms> <ms> j </ms> </apply> </list> </apply> <ms> - </ms> <apply> <ci> SubscriptBox </ci> <ms> b </ms> <ms> 4 </ms> </apply> <ms> - </ms> <ms> l </ms> </list> </apply> <ms> ∉ </ms> <apply> <ci> TagBox </ci> <ms> ℕ </ms> <apply> <ci> Function </ci> <integers /> </apply> </apply> </list> </apply> <ms> ∧ </ms> <apply> <ci> RowBox </ci> <list> <ms> 1 </ms> <ms> ≤ </ms> <ms> j </ms> <ms> ≤ </ms> <ms> 𝒞 </ms> </list> </apply> </list> </apply> </list> </apply> <ci> TraditionalForm </ci> </apply> </annotation-xml> </semantics> </math>
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
