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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.amp8.01

 Input Form

 HypergeometricPFQ[{1/2, 1/2, 7/2}, {-(7/2), 2}, -z] == (1/(525 Pi z (1 + z)^6)) (4 (945 + 5265 z + 12015 z^2 + 14319 z^3 + 9568 z^4 + 5248 z^5 + 1024 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/ (1 + Sqrt[1 + z])^2]) + (1/(525 Pi z (1 + z)^(11/2))) (4 (945 + 5265 z + 12015 z^2 + 14319 z^3 + 9568 z^4 + 5248 z^5 + 1024 z^6) EllipticE[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2]) + (16 (-105 - 450 z - 585 z^2 + 144 z^3 + 1280 z^4 + 256 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/ (525 Pi z (1 + z)^(11/2)) - (8 (735 + 3630 z + 7215 z^2 + 7392 z^3 + 4736 z^4 + 1024 z^5) EllipticK[(-1 + Sqrt[1 + z])^2/(1 + Sqrt[1 + z])^2])/(525 Pi z (1 + z)^5)

 Standard Form

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 MathML Form

 3 F 2 ( 1 2 , 1 2 , 7 2 ; - 7 2 , 2 ; - z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["2", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[RowBox[List["-", "z"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] 4 ( 1024 z 6 + 5248 z 5 + 9568 z 4 + 14319 z 3 + 12015 z 2 + 5265 z + 945 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 525 π z ( z + 1 ) 11 / 2 + 4 ( 1024 z 6 + 5248 z 5 + 9568 z 4 + 14319 z 3 + 12015 z 2 + 5265 z + 945 ) E ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 525 π z ( z + 1 ) 6 + 16 ( 256 z 5 + 1280 z 4 + 144 z 3 - 585 z 2 - 450 z - 105 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 525 π z ( z + 1 ) 11 / 2 - 8 ( 1024 z 5 + 4736 z 4 + 7392 z 3 + 7215 z 2 + 3630 z + 735 ) K ( ( z + 1 - 1 ) 2 ( z + 1 + 1 ) 2 ) 525 π z ( z + 1 ) 5 HypergeometricPFQ 1 2 1 2 7 2 -1 7 2 2 -1 z 4 1024 z 6 5248 z 5 9568 z 4 14319 z 3 12015 z 2 5265 z 945 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 525 z z 1 11 2 -1 4 1024 z 6 5248 z 5 9568 z 4 14319 z 3 12015 z 2 5265 z 945 EllipticE z 1 1 2 -1 2 z 1 1 2 1 2 -1 525 z z 1 6 -1 16 256 z 5 1280 z 4 144 z 3 -1 585 z 2 -1 450 z -105 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 525 z z 1 11 2 -1 -1 8 1024 z 5 4736 z 4 7392 z 3 7215 z 2 3630 z 735 EllipticK z 1 1 2 -1 2 z 1 1 2 1 2 -1 525 z z 1 5 -1 [/itex]

 Rule Form

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

 2007-05-02