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/07.26.06.0008.01

 Input Form

 HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2]}, {Subscript[b, 1], Subscript[b, 2], Subscript[b, 3]}, z] \[Proportional] (((Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]] Gamma[Subscript[b, 3]] Gamma[-Subscript[a, 1] + Subscript[a, 2]])/ (Gamma[-Subscript[a, 1] + Subscript[b, 1]] Gamma[-Subscript[a, 1] + Subscript[b, 2]] Gamma[-Subscript[a, 1] + Subscript[b, 3]] Gamma[Subscript[a, 2]])) (1 + (Subscript[a, 1] (1 + Subscript[a, 1] - Subscript[b, 1]) (1 + Subscript[a, 1] - Subscript[b, 2]) (1 + Subscript[a, 1] - Subscript[b, 3]))/(z (1 + Subscript[a, 1] - Subscript[a, 2])) + (1/(2 z^2 (1 + Subscript[a, 1] - Subscript[a, 2]) (2 + Subscript[a, 1] - Subscript[a, 2]))) (Subscript[a, 1] (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]) (1 + Subscript[a, 1] - Subscript[b, 3]) (2 + Subscript[a, 1] - Subscript[b, 3])) + \[Ellipsis]))/(-z)^Subscript[a, 1] + (((Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]] Gamma[Subscript[b, 3]] Gamma[Subscript[a, 1] - Subscript[a, 2]])/ (Gamma[-Subscript[a, 2] + Subscript[b, 1]] Gamma[-Subscript[a, 2] + Subscript[b, 2]] Gamma[-Subscript[a, 2] + Subscript[b, 3]] Gamma[Subscript[a, 1]])) (1 + (Subscript[a, 2] (1 + Subscript[a, 2] - Subscript[b, 1]) (1 + Subscript[a, 2] - Subscript[b, 2]) (1 + Subscript[a, 2] - Subscript[b, 3]))/(z (1 - Subscript[a, 1] + Subscript[a, 2])) + (1/(2 z^2 (1 - Subscript[a, 1] + Subscript[a, 2]) (2 - Subscript[a, 1] + Subscript[a, 2]))) (Subscript[a, 2] (1 + Subscript[a, 2]) (1 + Subscript[a, 2] - Subscript[b, 1]) (2 + Subscript[a, 2] - Subscript[b, 1]) (1 + Subscript[a, 2] - Subscript[b, 2]) (2 + Subscript[a, 2] - Subscript[b, 2]) (1 + Subscript[a, 2] - Subscript[b, 3]) (2 + Subscript[a, 2] - Subscript[b, 3])) + \[Ellipsis]))/(-z)^Subscript[a, 2] + ((Gamma[Subscript[b, 1]] Gamma[Subscript[b, 2]] Gamma[Subscript[b, 3]])/ (2 Sqrt[Pi] Gamma[Subscript[a, 1]] Gamma[Subscript[a, 2]])) (-z)^((1/2) (1/2 + Subscript[a, 1] + Subscript[a, 2] - Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3])) (E^(I (2 Sqrt[-z] + (1/2) Pi (1/2 + Subscript[a, 1] + Subscript[a, 2] - Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3]))) (1 - Subscript[d, 1]/Sqrt[-z] + Subscript[d, 2]/z + \[Ellipsis]) + (1 + Subscript[d, 1]/Sqrt[-z] + Subscript[d, 2]/z + \[Ellipsis])/ E^(I (2 Sqrt[-z] + (1/2) Pi (1/2 + Subscript[a, 1] + Subscript[a, 2] - Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3])))) /; (Abs[z] -> Infinity) && Subscript[d, 1] == (1/16) (I (-3 + 12 Subscript[a, 1]^2 + 12 Subscript[a, 2]^2 + 8 Subscript[b, 1] - 4 Subscript[b, 1]^2 + 8 Subscript[b, 2] + 8 Subscript[b, 1] Subscript[b, 2] - 4 Subscript[b, 2]^2 + 8 Subscript[a, 1] (-1 + Subscript[a, 2] - Subscript[b, 1] - Subscript[b, 2] - Subscript[b, 3]) + 8 Subscript[b, 3] + 8 Subscript[b, 1] Subscript[b, 3] + 8 Subscript[b, 2] Subscript[b, 3] - 4 Subscript[b, 3]^2 - 8 Subscript[a, 2] (1 + Subscript[b, 1] + Subscript[b, 2] + Subscript[b, 3]))) && Subscript[d, 2] == (1/512) (-15 + 144 Subscript[a, 1]^4 + 144 Subscript[a, 2]^4 + 16 Subscript[b, 1] + 56 Subscript[b, 1]^2 - 64 Subscript[b, 1]^3 + 16 Subscript[b, 1]^4 + 16 Subscript[b, 2] + 400 Subscript[b, 1] Subscript[b, 2] + 64 Subscript[b, 1]^2 Subscript[b, 2] - 64 Subscript[b, 1]^3 Subscript[b, 2] + 56 Subscript[b, 2]^2 + 64 Subscript[b, 1] Subscript[b, 2]^2 + 96 Subscript[b, 1]^2 Subscript[b, 2]^2 - 64 Subscript[b, 2]^3 - 64 Subscript[b, 1] Subscript[b, 2]^3 + 16 Subscript[b, 2]^4 + 64 Subscript[a, 1]^3 (-7 + 3 Subscript[a, 2] - 3 Subscript[b, 1] - 3 Subscript[b, 2] - 3 Subscript[b, 3]) + 16 Subscript[b, 3] + 400 Subscript[b, 1] Subscript[b, 3] + 64 Subscript[b, 1]^2 Subscript[b, 3] - 64 Subscript[b, 1]^3 Subscript[b, 3] + 400 Subscript[b, 2] Subscript[b, 3] + 640 Subscript[b, 1] Subscript[b, 2] Subscript[b, 3] + 64 Subscript[b, 1]^2 Subscript[b, 2] Subscript[b, 3] + 64 Subscript[b, 2]^2 Subscript[b, 3] + 64 Subscript[b, 1] Subscript[b, 2]^2 Subscript[b, 3] - 64 Subscript[b, 2]^3 Subscript[b, 3] + 56 Subscript[b, 3]^2 + 64 Subscript[b, 1] Subscript[b, 3]^2 + 96 Subscript[b, 1]^2 Subscript[b, 3]^2 + 64 Subscript[b, 2] Subscript[b, 3]^2 + 64 Subscript[b, 1] Subscript[b, 2] Subscript[b, 3]^2 + 96 Subscript[b, 2]^2 Subscript[b, 3]^2 - 64 Subscript[b, 3]^3 - 64 Subscript[b, 1] Subscript[b, 3]^3 - 64 Subscript[b, 2] Subscript[b, 3]^3 + 16 Subscript[b, 3]^4 - 64 Subscript[a, 2]^3 (7 + 3 Subscript[b, 1] + 3 Subscript[b, 2] + 3 Subscript[b, 3]) - 8 Subscript[a, 2]^2 (-43 + 4 Subscript[b, 1]^2 + 4 Subscript[b, 2]^2 - 72 Subscript[b, 3] + 4 Subscript[b, 3]^2 - 8 Subscript[b, 2] (9 + 5 Subscript[b, 3]) - 8 Subscript[b, 1] (9 + 5 Subscript[b, 2] + 5 Subscript[b, 3])) + 8 Subscript[a, 1]^2 (43 + 44 Subscript[a, 2]^2 - 4 Subscript[b, 1]^2 + 72 Subscript[b, 2] - 4 Subscript[b, 2]^2 + 72 Subscript[b, 3] + 40 Subscript[b, 2] Subscript[b, 3] - 4 Subscript[b, 3]^2 + 8 Subscript[b, 1] (9 + 5 Subscript[b, 2] + 5 Subscript[b, 3]) - 8 Subscript[a, 2] (9 + 5 Subscript[b, 1] + 5 Subscript[b, 2] + 5 Subscript[b, 3])) + 16 Subscript[a, 2] (-1 + 4 Subscript[b, 1]^3 + 4 Subscript[b, 2]^3 - 25 Subscript[b, 3] - 4 Subscript[b, 3]^2 + 4 Subscript[b, 3]^3 - 4 Subscript[b, 2]^2 (1 + Subscript[b, 3]) - 4 Subscript[b, 1]^2 (1 + Subscript[b, 2] + Subscript[b, 3]) - Subscript[b, 2] (25 + 40 Subscript[b, 3] + 4 Subscript[b, 3]^2) - Subscript[b, 1] (25 + 4 Subscript[b, 2]^2 + 40 Subscript[b, 3] + 4 Subscript[b, 3]^2 + 8 Subscript[b, 2] (5 + 3 Subscript[b, 3]))) + 16 Subscript[a, 1] (-1 + 12 Subscript[a, 2]^3 + 4 Subscript[b, 1]^3 - 25 Subscript[b, 2] - 4 Subscript[b, 2]^2 + 4 Subscript[b, 2]^3 - 25 Subscript[b, 3] - 40 Subscript[b, 2] Subscript[b, 3] - 4 Subscript[b, 2]^2 Subscript[b, 3] - 4 Subscript[b, 3]^2 - 4 Subscript[b, 2] Subscript[b, 3]^2 + 4 Subscript[b, 3]^3 - 4 Subscript[b, 1]^2 (1 + Subscript[b, 2] + Subscript[b, 3]) - 4 Subscript[a, 2]^2 (9 + 5 Subscript[b, 1] + 5 Subscript[b, 2] + 5 Subscript[b, 3]) - Subscript[b, 1] (25 + 4 Subscript[b, 2]^2 + 40 Subscript[b, 3] + 4 Subscript[b, 3]^2 + 8 Subscript[b, 2] (5 + 3 Subscript[b, 3])) + Subscript[a, 2] (25 + 4 Subscript[b, 1]^2 + 4 Subscript[b, 2]^2 + 40 Subscript[b, 3] + 4 Subscript[b, 3]^2 + 8 Subscript[b, 2] (5 + 3 Subscript[b, 3]) + 8 Subscript[b, 1] (5 + 3 Subscript[b, 2] + 3 Subscript[b, 3]))))

 Standard Form

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 MathML Form

 2 F 3 ( a 1 , a 2 ; b 1 , b 2 , b 3 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["2", TraditionalForm]], SubscriptBox["F", FormBox["3", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[SubscriptBox["a", "1"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[SubscriptBox["a", "2"], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[SubscriptBox["b", "1"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "2"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[SubscriptBox["b", "3"], HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox["z", HypergeometricPFQ, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], HypergeometricPFQ] Γ ( b 1 ) Γ ( b 2 ) Γ ( b 3 ) Γ ( a 2 - a 1 ) Γ ( b 1 - a 1 ) Γ ( b 2 - a 1 ) Γ ( b 3 - a 1 ) Γ ( a 2 ) ( - z ) - a 1 ( 1 + a 1 ( a 1 - b 1 + 1 ) ( a 1 - b 2 + 1 ) ( a 1 - b 3 + 1 ) ( a 1 - a 2 + 1 ) z + ( a 1 ( a 1 + 1 ) ( a 1 - b 1 + 1 ) ( a 1 - b 1 + 2 ) ( a 1 - b 2 + 1 ) ( a 1 - b 2 + 2 ) ( a 1 - b 3 + 1 ) ( a 1 - b 3 + 2 ) ) / ( 2 ( a 1 - a 2 + 1 ) ( a 1 - a 2 + 2 ) z 2 ) + ) + Γ ( b 1 ) Γ ( b 2 ) Γ ( b 3 ) Γ ( a 1 - a 2 ) Γ ( b 1 - a 2 ) Γ ( b 2 - a 2 ) Γ ( b 3 - a 2 ) Γ ( a 1 ) ( - z ) - a 2 ( 1 + a 2 ( a 2 - b 1 + 1 ) ( a 2 - b 2 + 1 ) ( a 2 - b 3 + 1 ) ( a 2 - a 1 + 1 ) z + ( a 2 ( a 2 + 1 ) ( a 2 - b 1 + 1 ) ( a 2 - b 1 + 2 ) ( a 2 - b 2 + 1 ) ( a 2 - b 2 + 2 ) ( a 2 - b 3 + 1 ) ( a 2 - b 3 + 2 ) ) / ( 2 ( a 2 - a 1 + 1 ) ( a 2 - a 1 + 2 ) z 2 ) + ) + Γ ( b 1 ) Γ ( b 2 ) Γ ( b 3 ) 2 π Γ ( a 1 ) Γ ( a 2 ) ( - z ) 1 2 ( a 1 + a 2 - b 1 - b 2 - b 3 + 1 2 ) ( - ( 1 2 π ( a 1 + a 2 - b 1 - b 2 - b 3 + 1 2 ) + 2 - z ) ( 1 + d 1 - z + d 2 z + ) + ( 1 2 π ( a 1 + a 2 - b 1 - b 2 - b 3 + 1 2 ) + 2 - z ) ( 1 - d 1 - z + d 2 z + ) ) /; ( "\[LeftBracketingBar]" z "\[RightBracketingBar]" "\[Rule]" ) d 1 1 16 ( 12 a 1 2 + 8 ( a 2 - b 1 - b 2 - b 3 - 1 ) a 1 + 12 a 2 2 - 4 b 1 2 - 4 b 2 2 - 4 b 3 2 + 8 b 1 + 8 b 1 b 2 + 8 b 2 + 8 b 1 b 3 + 8 b 2 b 3 + 8 b 3 - 8 a 2 ( b 1 + b 2 + b 3 + 1 ) - 3 ) d 2 1 512 ( 144 a 1 4 + 64 ( 3 a 2 - 3 b 1 - 3 b 2 - 3 b 3 - 7 ) a 1 3 + 8 ( 44 a 2 2 - 8 ( 5 b 1 + 5 b 2 + 5 b 3 + 9 ) a 2 - 4 b 1 2 - 4 b 2 2 - 4 b 3 2 + 72 b 2 + 40 b 2 b 3 + 72 b 3 + 8 b 1 ( 5 b 2 + 5 b 3 + 9 ) + 43 ) a 1 2 + 16 ( 12 a 2 3 - 4 ( 5 b 1 + 5 b 2 + 5 b 3 + 9 ) a 2 2 + ( 4 b 1 2 + 8 ( 3 b 2 + 3 b 3 + 5 ) b 1 + 4 b 2 2 + 4 b 3 2 + 40 b 3 + 8 b 2 ( 3 b 3 + 5 ) + 25 ) a 2 + 4 b 1 3 + 4 b 2 3 + 4 b 3 3 - 4 b 2 2 - 4 b 2 b 3 2 - 4 b 3 2 - 25 b 2 - 4 b 2 2 b 3 - 40 b 2 b 3 - 25 b 3 - 4 b 1 2 ( b 2 + b 3 + 1 ) - b 1 ( 4 b 2 2 + 8 ( 3 b 3 + 5 ) b 2 + 4 b 3 2 + 40 b 3 + 25 ) - 1 ) a 1 + 144 a 2 4 + 16 b 1 4 + 16 b 2 4 + 16 b 3 4 - 64 b 1 3 - 64 b 1 b 2 3 - 64 b 2 3 - 64 b 1 b 3 3 - 64 b 2 b 3 3 - 64 b 3 3 + 56 b 1 2 + 96 b 1 2 b 2 2 + 64 b 1 b 2 2 + 56 b 2 2 + 96 b 1 2 b 3 2 + 96 b 2 2 b 3 2 + 64 b 1 b 3 2 + 64 b 1 b 2 b 3 2 + 64 b 2 b 3 2 + 56 b 3 2 + 16 b 1 - 64 b 1 3 b 2 + 64 b 1 2 b 2 + 400 b 1 b 2 + 16 b 2 - 64 b 1 3 b 3 - 64 b 2 3 b 3 + 64 b 1 2 b 3 + 64 b 1 b 2 2 b 3 + 64 b 2 2 b 3 + 400 b 1 b 3 + 64 b 1 2 b 2 b 3 + 640 b 1 b 2 b 3 + 400 b 2 b 3 + 16 b 3 - 64 a 2 3 ( 3 b 1 + 3 b 2 + 3 b 3 + 7 ) - 8 a 2 2 ( 4 b 1 2 - 8 ( 5 b 2 + 5 b 3 + 9 ) b 1 + 4 b 2 2 + 4 b 3 2 - 72 b 3 - 8 b 2 ( 5 b 3 + 9 ) - 43 ) + 16 a 2 ( 4 b 1 3 - 4 ( b 2 + b 3 + 1 ) b 1 2 - ( 4 b 2 2 + 8 ( 3 b 3 + 5 ) b 2 + 4 b 3 2 + 40 b 3 + 25 ) b 1 + 4 b 2 3 + 4 b 3 3 - 4 b 3 2 - 25 b 3 - 4 b 2 2 ( b 3 + 1 ) - b 2 ( 4 b 3 2 + 40 b 3 + 25 ) - 1 ) - 15 ) Condition Proportional HypergeometricPFQ Subscript a 1 Subscript a 2 Subscript b 1 Subscript b 2 Subscript b 3 z Gamma Subscript b 1 Gamma Subscript b 2 Gamma Subscript b 3 Gamma Subscript a 2 -1 Subscript a 1 Gamma Subscript b 1 -1 Subscript a 1 Gamma Subscript b 2 -1 Subscript a 1 Gamma Subscript b 3 -1 Subscript a 1 Gamma Subscript a 2 -1 -1 z -1 Subscript a 1 1 Subscript a 1 Subscript a 1 -1 Subscript b 1 1 Subscript a 1 -1 Subscript b 2 1 Subscript a 1 -1 Subscript b 3 1 Subscript a 1 -1 Subscript a 2 1 z -1 Subscript a 1 Subscript a 1 1 Subscript a 1 -1 Subscript b 1 1 Subscript a 1 -1 Subscript b 1 2 Subscript a 1 -1 Subscript b 2 1 Subscript a 1 -1 Subscript b 2 2 Subscript a 1 -1 Subscript b 3 1 Subscript a 1 -1 Subscript b 3 2 2 Subscript a 1 -1 Subscript a 2 1 Subscript a 1 -1 Subscript a 2 2 z 2 -1 Gamma Subscript b 1 Gamma Subscript b 2 Gamma Subscript b 3 Gamma Subscript a 1 -1 Subscript a 2 Gamma Subscript b 1 -1 Subscript a 2 Gamma Subscript b 2 -1 Subscript a 2 Gamma Subscript b 3 -1 Subscript a 2 Gamma Subscript a 1 -1 -1 z -1 Subscript a 2 1 Subscript a 2 Subscript a 2 -1 Subscript b 1 1 Subscript a 2 -1 Subscript b 2 1 Subscript a 2 -1 Subscript b 3 1 Subscript a 2 -1 Subscript a 1 1 z -1 Subscript a 2 Subscript a 2 1 Subscript a 2 -1 Subscript b 1 1 Subscript a 2 -1 Subscript b 1 2 Subscript a 2 -1 Subscript b 2 1 Subscript a 2 -1 Subscript b 2 2 Subscript a 2 -1 Subscript b 3 1 Subscript a 2 -1 Subscript b 3 2 2 Subscript a 2 -1 Subscript a 1 1 Subscript a 2 -1 Subscript a 1 2 z 2 -1 Gamma Subscript b 1 Gamma Subscript b 2 Gamma Subscript b 3 2 1 2 Gamma Subscript a 1 Gamma Subscript a 2 -1 -1 z 1 2 Subscript a 1 Subscript a 2 -1 Subscript b 1 -1 Subscript b 2 -1 Subscript b 3 1 2 -1 1 2 Subscript a 1 Subscript a 2 -1 Subscript b 1 -1 Subscript b 2 -1 Subscript b 3 1 2 2 -1 z 1 2 1 Subscript d 1 -1 z 1 2 -1 Subscript d 2 z -1 1 2 Subscript a 1 Subscript a 2 -1 Subscript b 1 -1 Subscript b 2 -1 Subscript b 3 1 2 2 -1 z 1 2 1 -1 Subscript d 1 -1 z 1 2 -1 Subscript d 2 z -1 Rule z Subscript d 1 1 16 12 Subscript a 1 2 8 Subscript a 2 -1 Subscript b 1 -1 Subscript b 2 -1 Subscript b 3 -1 Subscript a 1 12 Subscript a 2 2 -1 4 Subscript b 1 2 -1 4 Subscript b 2 2 -1 4 Subscript b 3 2 8 Subscript b 1 8 Subscript b 1 Subscript b 2 8 Subscript b 2 8 Subscript b 1 Subscript b 3 8 Subscript b 2 Subscript b 3 8 Subscript b 3 -1 8 Subscript a 2 Subscript b 1 Subscript b 2 Subscript b 3 1 -3 Subscript d 2 1 512 144 Subscript a 1 4 64 3 Subscript a 2 -1 3 Subscript b 1 -1 3 Subscript b 2 -1 3 Subscript b 3 -7 Subscript a 1 3 8 44 Subscript a 2 2 -1 8 5 Subscript b 1 5 Subscript b 2 5 Subscript b 3 9 Subscript a 2 -1 4 Subscript b 1 2 -1 4 Subscript b 2 2 -1 4 Subscript b 3 2 72 Subscript b 2 40 Subscript b 2 Subscript b 3 72 Subscript b 3 8 Subscript b 1 5 Subscript b 2 5 Subscript b 3 9 43 Subscript a 1 2 16 12 Subscript a 2 3 -1 4 5 Subscript b 1 5 Subscript b 2 5 Subscript b 3 9 Subscript a 2 2 4 Subscript b 1 2 8 3 Subscript b 2 3 Subscript b 3 5 Subscript b 1 4 Subscript b 2 2 4 Subscript b 3 2 40 Subscript b 3 8 Subscript b 2 3 Subscript b 3 5 25 Subscript a 2 4 Subscript b 1 3 4 Subscript b 2 3 4 Subscript b 3 3 -1 4 Subscript b 2 2 -1 4 Subscript b 2 Subscript b 3 2 -1 4 Subscript b 3 2 -1 25 Subscript b 2 -1 4 Subscript b 2 2 Subscript b 3 -1 40 Subscript b 2 Subscript b 3 -1 25 Subscript b 3 -1 4 Subscript b 1 2 Subscript b 2 Subscript b 3 1 -1 Subscript b 1 4 Subscript b 2 2 8 3 Subscript b 3 5 Subscript b 2 4 Subscript b 3 2 40 Subscript b 3 25 -1 Subscript a 1 144 Subscript a 2 4 16 Subscript b 1 4 16 Subscript b 2 4 16 Subscript b 3 4 -1 64 Subscript b 1 3 -1 64 Subscript b 1 Subscript b 2 3 -1 64 Subscript b 2 3 -1 64 Subscript b 1 Subscript b 3 3 -1 64 Subscript b 2 Subscript b 3 3 -1 64 Subscript b 3 3 56 Subscript b 1 2 96 Subscript b 1 2 Subscript b 2 2 64 Subscript b 1 Subscript b 2 2 56 Subscript b 2 2 96 Subscript b 1 2 Subscript b 3 2 96 Subscript b 2 2 Subscript b 3 2 64 Subscript b 1 Subscript b 3 2 64 Subscript b 1 Subscript b 2 Subscript b 3 2 64 Subscript b 2 Subscript b 3 2 56 Subscript b 3 2 16 Subscript b 1 -1 64 Subscript b 1 3 Subscript b 2 64 Subscript b 1 2 Subscript b 2 400 Subscript b 1 Subscript b 2 16 Subscript b 2 -1 64 Subscript b 1 3 Subscript b 3 -1 64 Subscript b 2 3 Subscript b 3 64 Subscript b 1 2 Subscript b 3 64 Subscript b 1 Subscript b 2 2 Subscript b 3 64 Subscript b 2 2 Subscript b 3 400 Subscript b 1 Subscript b 3 64 Subscript b 1 2 Subscript b 2 Subscript b 3 640 Subscript b 1 Subscript b 2 Subscript b 3 400 Subscript b 2 Subscript b 3 16 Subscript b 3 -1 64 Subscript a 2 3 3 Subscript b 1 3 Subscript b 2 3 Subscript b 3 7 -1 8 Subscript a 2 2 4 Subscript b 1 2 -1 8 5 Subscript b 2 5 Subscript b 3 9 Subscript b 1 4 Subscript b 2 2 4 Subscript b 3 2 -1 72 Subscript b 3 -1 8 Subscript b 2 5 Subscript b 3 9 -43 16 Subscript a 2 4 Subscript b 1 3 -1 4 Subscript b 2 Subscript b 3 1 Subscript b 1 2 -1 4 Subscript b 2 2 8 3 Subscript b 3 5 Subscript b 2 4 Subscript b 3 2 40 Subscript b 3 25 Subscript b 1 4 Subscript b 2 3 4 Subscript b 3 3 -1 4 Subscript b 3 2 -1 25 Subscript b 3 -1 4 Subscript b 2 2 Subscript b 3 1 -1 Subscript b 2 4 Subscript b 3 2 40 Subscript b 3 25 -1 -15 [/itex]

 Rule Form

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

 2001-10-29