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; }

 MeijerG

 http://functions.wolfram.com/07.34.03.0220.01

 Input Form

 MeijerG[{{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[a, 4], Subscript[a, 5], Subscript[a, 6]}}, {{}, {Subscript[b, 1], Subscript[b, 2]}}, z] == ((Pi^2 Csc[Pi (Subscript[a, 1] - Subscript[a, 2])] Csc[Pi (Subscript[a, 1] - Subscript[a, 3])])/ (Gamma[Subscript[a, 1] - Subscript[b, 1]] Gamma[Subscript[a, 1] - Subscript[b, 2]])) z^(-1 + Subscript[a, 1]) HypergeometricPFQRegularized[{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 - Subscript[a, 1] + Subscript[a, 4], 1 - Subscript[a, 1] + Subscript[a, 5], 1 - Subscript[a, 1] + Subscript[a, 6]}, -(1/z)] + ((Pi^2 Csc[Pi (-Subscript[a, 1] + Subscript[a, 2])] Csc[Pi (Subscript[a, 2] - Subscript[a, 3])])/ (Gamma[Subscript[a, 2] - Subscript[b, 1]] Gamma[Subscript[a, 2] - Subscript[b, 2]])) z^(-1 + Subscript[a, 2]) HypergeometricPFQRegularized[{1 - Subscript[a, 2] + Subscript[b, 1], 1 - Subscript[a, 2] + Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 2], 1 - Subscript[a, 2] + Subscript[a, 3], 1 - Subscript[a, 2] + Subscript[a, 4], 1 - Subscript[a, 2] + Subscript[a, 5], 1 - Subscript[a, 2] + Subscript[a, 6]}, -(1/z)] + ((Pi^2 Csc[Pi (-Subscript[a, 1] + Subscript[a, 3])] Csc[Pi (-Subscript[a, 2] + Subscript[a, 3])])/ (Gamma[Subscript[a, 3] - Subscript[b, 1]] Gamma[Subscript[a, 3] - Subscript[b, 2]])) z^(-1 + Subscript[a, 3]) HypergeometricPFQRegularized[{1 - Subscript[a, 3] + Subscript[b, 1], 1 - Subscript[a, 3] + Subscript[b, 2]}, {1 + Subscript[a, 1] - Subscript[a, 3], 1 + Subscript[a, 2] - Subscript[a, 3], 1 - Subscript[a, 3] + Subscript[a, 4], 1 - Subscript[a, 3] + Subscript[a, 5], 1 - Subscript[a, 3] + Subscript[a, 6]}, -(1/z)] /; !IntervalMemberQ[Interval[{-Infinity, 0}], z] && !Element[Subscript[a, 2] - Subscript[a, 1], Integers] && !Element[Subscript[a, 3] - Subscript[a, 1], Integers] && !Element[Subscript[a, 3] - Subscript[a, 2], Integers]

 Standard Form

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 MathML Form

 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2001-10-29