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http://functions.wolfram.com/07.27.04.0003.02
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HypergeometricPFQ[{Conjugate[Subscript[a, 1]], Conjugate[Subscript[a, 2]],
Conjugate[Subscript[a, 3]]}, {Conjugate[Subscript[b, 1]],
Conjugate[Subscript[b, 2]]}, Conjugate[z]] ==
Conjugate[HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2],
Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z]] /;
!IntervalMemberQ[Interval[{1, Infinity}], z]
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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> <mo>   </mo> <mn> 3 </mn> </msub> <msub> <mi> F </mi> <mn> 2 </mn> </msub> </mrow> <mo> ⁡ </mo> <mrow> <mo> ( </mo> <mrow> <semantics> <mrow> <mover> <msub> <mi> a </mi> <mn> 1 </mn> </msub> <mo> _ </mo> </mover> <mo> , </mo> <mover> <msub> <mi> a </mi> <mn> 2 </mn> </msub> <mo> _ </mo> </mover> <mo> , </mo> <mover> <msub> <mi> a </mi> <mn> 3 </mn> </msub> <mo> _ </mo> </mover> </mrow> <annotation encoding='Mathematica'> TagBox[TagBox[RowBox[List[TagBox[OverscriptBox[SubscriptBox["a", "1"], "_"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[OverscriptBox[SubscriptBox["a", "2"], "_"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[OverscriptBox[SubscriptBox["a", "3"], "_"], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]] </annotation> </semantics> <mo> ; 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</ms> <apply> <ci> RowBox </ci> <list> <ms> z </ms> <ms> ∉ </ms> <apply> <ci> RowBox </ci> <list> <ms> ( </ms> <apply> <ci> RowBox </ci> <list> <ms> 1 </ms> <ms> , </ms> <ms> ∞ </ms> </list> </apply> <ms> ) </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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HypergeometricPFQ[{},{},z] | HypergeometricPFQ[{},{b},z] | HypergeometricPFQ[{a},{},z] | HypergeometricPFQ[{a},{b},z] | HypergeometricPFQ[{a1},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1},z] | HypergeometricPFQ[{a1,a2},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] | |
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