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/07.26.13.0003.01

 Input Form

 Wronskian[HypergeometricPFQRegularized[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] + MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2]}, {}}, {{0, 1 - Subscript[b, 1]}, {1 - Subscript[b, 2], 1 - Subscript[b, 3]}}, z] + MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2]}, {}}, {{0, 1 - Subscript[b, 2]}, {1 - Subscript[b, 1], 1 - Subscript[b, 3]}}, z] + MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2]}, {}}, {{0, 1 - Subscript[b, 3]}, {1 - Subscript[b, 1], 1 - Subscript[b, 2]}}, z], MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2]}, {}}, {{0, 1 - Subscript[b, 1], 1 - Subscript[b, 2]}, {1 - Subscript[b, 3]}}, -z] + MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2]}, {}}, {{0, 1 - Subscript[b, 1], 1 - Subscript[b, 3]}, {1 - Subscript[b, 2]}}, -z] + MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2]}, {}}, {{0, 1 - Subscript[b, 2], 1 - Subscript[b, 3]}, {1 - Subscript[b, 1]}}, -z], MeijerG[{{1 - Subscript[a, 1], 1 - Subscript[a, 2]}, {}}, {{0, 1 - Subscript[b, 1], 1 - Subscript[b, 2], 1 - Subscript[b, 3]}, {}}, z], z] == (-z)^(-Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3]) z^(-3 - Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3]) ((-(-z)^(Subscript[b, 2] + Subscript[b, 3])) z^Subscript[b, 1] (Csc[Pi (Subscript[b, 1] - Subscript[b, 3])] Sin[Pi (Subscript[b, 1] - Subscript[b, 2])] + Csc[Pi (Subscript[b, 1] - Subscript[b, 2])] Sin[Pi (Subscript[b, 1] - Subscript[b, 3])]) + (-z)^(Subscript[b, 1] + Subscript[b, 3]) z^Subscript[b, 2] (Csc[Pi (Subscript[b, 1] - Subscript[b, 2])]^2 + Csc[Pi (Subscript[b, 2] - Subscript[b, 3])]^2) Sin[Pi (Subscript[b, 1] - Subscript[b, 2])] Sin[Pi (Subscript[b, 2] - Subscript[b, 3])] - (-z)^(Subscript[b, 1] + Subscript[b, 2]) z^Subscript[b, 3] (Csc[Pi (Subscript[b, 1] - Subscript[b, 3])]^2 + Csc[Pi (Subscript[b, 2] - Subscript[b, 3])]^2) Sin[Pi (Subscript[b, 1] - Subscript[b, 3])] Sin[Pi (Subscript[b, 2] - Subscript[b, 3])] - 2 ((-z)^(Subscript[b, 2] + Subscript[b, 3]) z^Subscript[b, 1] + (-z)^(Subscript[b, 1] + Subscript[b, 3]) z^Subscript[b, 2] + (-z)^(Subscript[b, 1] + Subscript[b, 2]) z^Subscript[b, 3])) Gamma[1 + Subscript[a, 1] - Subscript[b, 1]] Gamma[1 + Subscript[a, 2] - Subscript[b, 1]] Gamma[1 + Subscript[a, 1] - Subscript[b, 2]] Gamma[1 + Subscript[a, 2] - Subscript[b, 2]] Gamma[1 + Subscript[a, 1] - Subscript[b, 3]] Gamma[1 + Subscript[a, 2] - Subscript[b, 3]]

 Standard Form

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 MathML Form

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

 2007-05-02