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 | | http://functions.wolfram.com/07.32.03.0076.01 | 
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 | | HypergeometricPFQRegularized[{Subscript[a, 1], \[Ellipsis], Subscript[a, q]}, 
   {Subscript[a, 1] - 1, \[Ellipsis], Subscript[a, q] - 1}, z] == 
  D[Nest[Function[f, z D[f, z]], E^z, q], z] /; 
 Subscript[a, 1] == Subscript[a, 2] == \[Ellipsis] == Subscript[a, q] == 2 | 
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 | | Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HypergeometricPFQRegularized", "[", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a", "1"], ",", "\[Ellipsis]", ",", SubscriptBox["a", "q"]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List[SubscriptBox["a", "1"], "-", "1"]], ",", "\[Ellipsis]", ",", RowBox[List[SubscriptBox["a", "q"], "-", "1"]]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[SubscriptBox["\[PartialD]", "z"], RowBox[List["Nest", "[", RowBox[List[RowBox[List["Function", "[", RowBox[List["f", ",", " ", RowBox[List["z", " ", RowBox[List["D", "[", RowBox[List["f", ",", " ", "z"]], "]"]]]]]], "]"]], ",", " ", SuperscriptBox["\[ExponentialE]", "z"], ",", " ", "q"]], " ", "]"]]]]]], "/;", RowBox[List[SubscriptBox["a", "1"], "\[Equal]", SubscriptBox["a", "2"], "\[Equal]", "\[Ellipsis]", "\[Equal]", SubscriptBox["a", "q"], "\[Equal]", "2"]]]]]] | 
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</ms>  <apply>  <ci> TagBox </ci>  <ms> z </ms>  <ci> HypergeometricPFQ </ci>  <apply>  <ci> Rule </ci>  <ci> Editable </ci>  <true />  </apply>  </apply>  </list>  </apply>  <ms> ) </ms>  </list>  </apply>  </list>  </apply>  <apply>  <ci> Function </ci>  <ci> Null </ci>  <apply>  <ci> HoldComplete </ci>  <apply>  <ci> HypergeometricPFQ </ci>  <apply>  <ci> Slot </ci>  <cn type='integer'> 1 </cn>  </apply>  <apply>  <ci> Slot </ci>  <cn type='integer'> 2 </cn>  </apply>  <apply>  <ci> Slot </ci>  <cn type='integer'> 3 </cn>  </apply>  </apply>  </apply>  <list>  <ci> HoldAllComplete </ci>  </list>  </apply>  </apply>  <ms> ⩵ </ms>  <apply>  <ci> RowBox </ci>  <list>  <apply>  <ci> FractionBox </ci>  <ms> ∂ </ms>  <apply>  <ci> RowBox </ci>  <list>  <ms> ∂ </ms>  <ms> z </ms>  </list>  </apply>  </apply>  <apply>  <ci> SuperscriptBox </ci>  <apply>  <ci> RowBox </ci>  <list>  <ms> ( </ms>  <apply>  <ci> RowBox </ci>  <list>  <ms> z </ms>  <apply>  <ci> FractionBox </ci>  <ms> ⅆ </ms>  <apply>  <ci> RowBox </ci>  <list>  <ms> ⅆ </ms>  <ms> z </ms>  </list>  </apply>  </apply>  </list>  </apply>  <ms> ) </ms>  </list>  </apply>  <ms> q </ms>  </apply>  <apply>  <ci> SuperscriptBox </ci>  <ms> ⅇ </ms>  <ms> z </ms>  </apply>  </list>  </apply>  </list>  </apply>  <ms> /; </ms>  <apply>  <ci> RowBox </ci>  <list>  <apply>  <ci> SubscriptBox </ci>  <ms> a </ms>  <ms> 1 </ms>  </apply>  <ms> ⩵ </ms>  <apply>  <ci> SubscriptBox </ci>  <ms> a </ms>  <ms> 2 </ms>  </apply>  <ms> ⩵ </ms>  <ms> … </ms>  <ms> ⩵ </ms>  <apply>  <ci> SubscriptBox </ci>  <ms> a </ms>  <ms> q </ms>  </apply>  <ms> ⩵ </ms>  <ms> 2 </ms>  </list>  </apply>  </list>  </apply>  <ci> TraditionalForm </ci>  </apply>  </annotation-xml>  </semantics>  </math> 
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 | | Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricPFQRegularized", "[", RowBox[List[RowBox[List["{", RowBox[List[SubscriptBox["a_", "1"], ",", "\[Ellipsis]_", ",", SubscriptBox["a_", "q_"]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List[SubscriptBox["a_", "1"], "-", "1"]], ",", "\[Ellipsis]_", ",", RowBox[List[SubscriptBox["a_", "q_"], "-", "1"]]]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z"]]], RowBox[List["Nest", "[", RowBox[List[RowBox[List["Function", "[", RowBox[List["f", ",", RowBox[List["z", " ", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z"]]], "f"]]]]]], "]"]], ",", SuperscriptBox["\[ExponentialE]", "z"], ",", "q"]], "]"]]]], "/;", RowBox[List[SubscriptBox["a", "1"], "\[Equal]", SubscriptBox["a", "2"], "\[Equal]", "\[Ellipsis]", "\[Equal]", SubscriptBox["a", "q"], "\[Equal]", "2"]]]]]]]] | 
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 | | Date Added to functions.wolfram.com (modification date) | 
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