html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 HypergeometricPFQ

 http://functions.wolfram.com/07.27.13.0018.01

 Input Form

 Wronskian[HypergeometricPFQRegularized[{Subscript[a, 1], 1 + Subscript[a, 1] - Subscript[b, 1], 1 + Subscript[a, 1] - Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 + Subscript[a, 1] - Subscript[a, 3]}, 1/z]/z^Subscript[a, 1], MeijerG[{{1, Subscript[b, 1]}, {Subscript[b, 2]}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, 1/z] + MeijerG[{{1, Subscript[b, 2]}, {Subscript[b, 1]}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, 1/z], MeijerG[{{1, Subscript[b, 1], Subscript[b, 2]}, {}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, -(1/z)], z] == z^(-6 - Subscript[a, 1]) ((-2 z MeijerG[{{-1, -1 + Subscript[b, 1], -1 + Subscript[b, 2]}, {}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, -(1/z)] + MeijerG[{{-2, -1, -2 + Subscript[b, 1], -2 + Subscript[b, 2]}, {}}, {{-2 + Subscript[a, 1], -2 + Subscript[a, 2], -2 + Subscript[a, 3]}, {0}}, -(1/z)]) ((-HypergeometricPFQRegularized[{Subscript[a, 1], 1 + Subscript[a, 1] - Subscript[b, 1], 1 + Subscript[a, 1] - Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 + Subscript[a, 1] - Subscript[a, 3]}, 1/z]) (MeijerG[{{-1, -1 + Subscript[b, 1]}, {-1 + Subscript[b, 2]}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, 1/z] + MeijerG[{{-1, -1 + Subscript[b, 2]}, {-1 + Subscript[b, 1]}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, 1/z]) - (MeijerG[{{1, Subscript[b, 1]}, {Subscript[b, 2]}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, 1/z] + MeijerG[{{1, Subscript[b, 2]}, {Subscript[b, 1]}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, 1/z]) Subscript[a, 1] ((-z) HypergeometricPFQRegularized[ {Subscript[a, 1], 1 + Subscript[a, 1] - Subscript[b, 1], 1 + Subscript[a, 1] - Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] - HypergeometricPFQRegularized[ {1 + Subscript[a, 1], 2 + Subscript[a, 1] - Subscript[b, 1], 2 + Subscript[a, 1] - Subscript[b, 2]}, {2 + Subscript[a, 1] - Subscript[a, 2], 2 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] (1 + Subscript[a, 1] - Subscript[b, 1]) (1 + Subscript[a, 1] - Subscript[b, 2]))) - (2 z MeijerG[{{-1, -1 + Subscript[b, 1]}, {-1 + Subscript[b, 2]}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, 1/z] + 2 z MeijerG[{{-1, -1 + Subscript[b, 2]}, {-1 + Subscript[b, 1]}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, 1/z] + MeijerG[{{-2, -1, -2 + Subscript[b, 1]}, {-2 + Subscript[b, 2]}}, {{-2 + Subscript[a, 1], -2 + Subscript[a, 2], -2 + Subscript[a, 3]}, {0}}, 1/z] + MeijerG[{{-2, -1, -2 + Subscript[b, 2]}, {-2 + Subscript[b, 1]}}, {{-2 + Subscript[a, 1], -2 + Subscript[a, 2], -2 + Subscript[a, 3]}, {0}}, 1/z]) (HypergeometricPFQRegularized[{Subscript[a, 1], 1 + Subscript[a, 1] - Subscript[b, 1], 1 + Subscript[a, 1] - Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] MeijerG[{{-1, -1 + Subscript[b, 1], -1 + Subscript[b, 2]}, {}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, -(1/z)] - MeijerG[{{1, Subscript[b, 1], Subscript[b, 2]}, {}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, -(1/z)] Subscript[a, 1] ((-z) HypergeometricPFQRegularized[ {Subscript[a, 1], 1 + Subscript[a, 1] - Subscript[b, 1], 1 + Subscript[a, 1] - Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] - HypergeometricPFQRegularized[ {1 + Subscript[a, 1], 2 + Subscript[a, 1] - Subscript[b, 1], 2 + Subscript[a, 1] - Subscript[b, 2]}, {2 + Subscript[a, 1] - Subscript[a, 2], 2 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] (1 + Subscript[a, 1] - Subscript[b, 1]) (1 + Subscript[a, 1] - Subscript[b, 2]))) + (MeijerG[{{1, Subscript[b, 1]}, {Subscript[b, 2]}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, 1/z] MeijerG[{{-1, -1 + Subscript[b, 1], -1 + Subscript[b, 2]}, {}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, -(1/z)] + MeijerG[{{1, Subscript[b, 2]}, {Subscript[b, 1]}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, 1/z] MeijerG[{{-1, -1 + Subscript[b, 1], -1 + Subscript[b, 2]}, {}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, -(1/z)] + (MeijerG[{{-1, -1 + Subscript[b, 1]}, {-1 + Subscript[b, 2]}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, 1/z] + MeijerG[{{-1, -1 + Subscript[b, 2]}, {-1 + Subscript[b, 1]}}, {{-1 + Subscript[a, 1], -1 + Subscript[a, 2], -1 + Subscript[a, 3]}, {}}, 1/z]) MeijerG[{{1, Subscript[b, 1], Subscript[b, 2]}, {}}, {{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {}}, -(1/z)]) Subscript[a, 1] (z^2 HypergeometricPFQRegularized[ {Subscript[a, 1], 1 + Subscript[a, 1] - Subscript[b, 1], 1 + Subscript[a, 1] - Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] (1 + Subscript[a, 1]) + 2 z HypergeometricPFQRegularized[{1 + Subscript[a, 1], 2 + Subscript[a, 1] - Subscript[b, 1], 2 + Subscript[a, 1] - Subscript[b, 2]}, {2 + Subscript[a, 1] - Subscript[a, 2], 2 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] (1 + Subscript[a, 1] - Subscript[b, 1]) (1 + Subscript[a, 1] - Subscript[b, 2]) + 2 z HypergeometricPFQRegularized[ {1 + Subscript[a, 1], 2 + Subscript[a, 1] - Subscript[b, 1], 2 + Subscript[a, 1] - Subscript[b, 2]}, {2 + Subscript[a, 1] - Subscript[a, 2], 2 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] Subscript[a, 1] (1 + Subscript[a, 1] - Subscript[b, 1]) (1 + Subscript[a, 1] - Subscript[b, 2]) + HypergeometricPFQRegularized[{2 + Subscript[a, 1], 3 + Subscript[a, 1] - Subscript[b, 1], 3 + Subscript[a, 1] - Subscript[b, 2]}, {3 + Subscript[a, 1] - Subscript[a, 2], 3 + Subscript[a, 1] - Subscript[a, 3]}, 1/z] (1 + Subscript[a, 1]) (1 + Subscript[a, 1] - Subscript[b, 1]) (2 + Subscript[a, 1] - Subscript[b, 1]) (1 + Subscript[a, 1] - Subscript[b, 2]) (2 + Subscript[a, 1] - Subscript[b, 2])))

 Standard Form

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1 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["3", ",", "3"]], RowBox[List["3", ",", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[FractionBox["1", "z"], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox[RowBox[List["-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "2"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "1"], "-", "1"]], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "2"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "3"], "-", "1"]], MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] ) - ( G 3 , 3 3 , 2 ( 1 z 1 , b 1 , b 2 a 1 , a 2 , a 3 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["3", ",", "3"]], RowBox[List["3", ",", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[FractionBox["1", "z"], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox["1", MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "1"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "2"], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[SubscriptBox["a", "1"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["a", "2"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["a", "3"], MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] + G 3 , 3 3 , 2 ( 1 z 1 , b 2 , b 1 a 1 , a 2 , a 3 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["3", ",", "3"]], RowBox[List["3", ",", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[FractionBox["1", "z"], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox["1", MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "2"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "1"], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[SubscriptBox["a", "1"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["a", "2"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["a", "3"], MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] ) a 1 ( - z 3 F ~ 2 ( a 1 , a 1 - b 1 + 1 , a 1 - b 2 + 1 ; a 1 - a 2 + 1 , a 1 - a 3 + 1 ; 1 z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox[OverscriptBox["F", "~"], "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[SubscriptBox["a", "1"], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "1"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "2"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "2"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "3"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[FractionBox["1", "z"], HypergeometricPFQRegularized, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQRegularized[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQRegularized] - 3 F ~ 2 ( a 1 + 1 , a 1 - b 1 + 2 , a 1 - b 2 + 2 ; a 1 - a 2 + 2 , a 1 - a 3 + 2 ; 1 z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox[OverscriptBox["F", "~"], "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "1"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "2"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "2"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "3"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[FractionBox["1", "z"], HypergeometricPFQRegularized, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQRegularized[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQRegularized] ( a 1 - b 1 + 1 ) ( a 1 - b 2 + 1 ) ) ) - ( 2 z G 3 , 3 3 , 2 ( 1 z - 1 , b 1 - 1 , b 2 - 1 a 1 - 1 , a 2 - 1 , a 3 - 1 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["3", ",", "3"]], RowBox[List["3", ",", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[FractionBox["1", "z"], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox[RowBox[List["-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "1"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "2"], "-", "1"]], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "2"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "3"], "-", "1"]], MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] + 2 z G 3 , 3 3 , 2 ( 1 z - 1 , b 2 - 1 , b 1 - 1 a 1 - 1 , a 2 - 1 , a 3 - 1 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["3", ",", "3"]], RowBox[List["3", ",", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[FractionBox["1", "z"], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox[RowBox[List["-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "2"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "1"], "-", "1"]], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "2"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "3"], "-", "1"]], MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] + G 4 , 4 3 , 3 ( 1 z - 2 , - 1 , b 1 - 2 , b 2 - 2 a 1 - 2 , a 2 - 2 , a 3 - 2 , 0 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["4", ",", "4"]], RowBox[List["3", ",", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[FractionBox["1", "z"], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox[RowBox[List["-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List["-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "1"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "2"], "-", "2"]], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "2"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "3"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox["0", MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] + G 4 , 4 3 , 3 ( 1 z - 2 , - 1 , b 2 - 2 , b 1 - 2 a 1 - 2 , a 2 - 2 , a 3 - 2 , 0 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["4", ",", "4"]], RowBox[List["3", ",", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[FractionBox["1", "z"], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox[RowBox[List["-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List["-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "2"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "1"], "-", "2"]], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "2"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "3"], "-", "2"]], MeijerG, Rule[Editable, True]], ",", TagBox["0", MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] ) ( 3 F ~ 2 ( a 1 , a 1 - b 1 + 1 , a 1 - b 2 + 1 ; a 1 - a 2 + 1 , a 1 - a 3 + 1 ; 1 z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox[OverscriptBox["F", "~"], "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[SubscriptBox["a", "1"], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "1"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "2"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "2"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "3"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[FractionBox["1", "z"], HypergeometricPFQRegularized, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQRegularized[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQRegularized] G 3 , 3 3 , 3 ( - 1 z - 1 , b 1 - 1 , b 2 - 1 a 1 - 1 , a 2 - 1 , a 3 - 1 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["3", ",", "3"]], RowBox[List["3", ",", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[RowBox[List["-", FractionBox["1", "z"]]], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox[RowBox[List["-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "1"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["b", "2"], "-", "1"]], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "2"], "-", "1"]], MeijerG, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "3"], "-", "1"]], MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] - G 3 , 3 3 , 3 ( - 1 z 1 , b 1 , b 2 a 1 , a 2 , a 3 ) TagBox[RowBox[List[SubsuperscriptBox[TagBox["G", MeijerG], RowBox[List["3", ",", "3"]], RowBox[List["3", ",", "3"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[RowBox[List["-", FractionBox["1", "z"]]], MeijerG, Rule[Editable, True]], "\[VerticalSeparator]", GridBox[List[List[RowBox[List[TagBox["1", MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "1"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "2"], MeijerG, Rule[Editable, True]]]]], List[RowBox[List[TagBox[SubscriptBox["a", "1"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["a", "2"], MeijerG, Rule[Editable, True]], ",", TagBox[SubscriptBox["a", "3"], MeijerG, Rule[Editable, True]]]]]]]]], ")"]]]], MeijerG, Rule[Editable, False]] a 1 ( - z 3 F ~ 2 ( a 1 , a 1 - b 1 + 1 , a 1 - b 2 + 1 ; a 1 - a 2 + 1 , a 1 - a 3 + 1 ; 1 z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox[OverscriptBox["F", "~"], "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[SubscriptBox["a", "1"], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "1"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "2"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "2"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "3"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[FractionBox["1", "z"], HypergeometricPFQRegularized, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQRegularized[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQRegularized] - 3 F ~ 2 ( a 1 + 1 , a 1 - b 1 + 2 , a 1 - b 2 + 2 ; a 1 - a 2 + 2 , a 1 - a 3 + 2 ; 1 z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox[OverscriptBox["F", "~"], "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "+", "1"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "1"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["b", "2"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "2"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]], ",", TagBox[RowBox[List[SubscriptBox["a", "1"], "-", SubscriptBox["a", "3"], "+", "2"]], HypergeometricPFQRegularized, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQRegularized, Rule[Editable, False]], ";", TagBox[FractionBox["1", "z"], HypergeometricPFQRegularized, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQRegularized[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQRegularized] ( a 1 - 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 Date Added to functions.wolfram.com (modification date)

 2007-05-02