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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.aph0.01

 Input Form

 HypergeometricPFQ[{1, 1, 5/2}, {7/2, 7/2}, z] == (25 I (9 Pi^2 + 84 I Sqrt[z] - 20 I z^(3/2)))/(36 z^(5/2)) - (25 Sqrt[1 - z] (-4 + z) ArcSin[Sqrt[z]])/(3 z^(5/2)) + (1/(576 (-1 + z)^5 z^2)) (25 Sqrt[1 - z] (-576 + 2496 z - 4199 z^2 + 1587 z^3 - 2887 z^4 - 675 z^5 + 54 z^6) Log[1 - E^(I ArcSin[Sqrt[z]])]) - (1/(576 (-1 + z)^5 z^2)) (25 Sqrt[1 - z] (-576 + 2496 z - 4199 z^2 + 1587 z^3 - 2887 z^4 - 675 z^5 + 54 z^6) Log[(1 - E^(I ArcSin[Sqrt[z]]))/ (1 + E^(I ArcSin[Sqrt[z]]))]) + (25 ArcSin[Sqrt[z]] Log[(1 - E^(I ArcSin[Sqrt[z]]))/ (1 + E^(I ArcSin[Sqrt[z]]))])/z^(5/2) - (1/(576 (-1 + z)^5 z^2)) (25 Sqrt[1 - z] (-576 + 2496 z - 4199 z^2 + 1587 z^3 - 2887 z^4 - 675 z^5 + 54 z^6) Log[1 + E^(I ArcSin[Sqrt[z]])]) + (25 I PolyLog[2, -E^(I ArcSin[Sqrt[z]])])/z^(5/2) - (25 I PolyLog[2, E^(I ArcSin[Sqrt[z]])])/z^(5/2)

 Standard Form

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 MathML Form

 3 F 2 ( 1 , 1 , 5 2 ; 7 2 , 7 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox["1", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["1", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "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[FractionBox["7", "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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] 25 ( - 20 z 3 / 2 + 84 z + 9 π 2 ) 36 z 5 / 2 - 25 1 - z ( z - 4 ) sin - 1 ( z ) 3 z 5 / 2 + 25 1 - z ( 54 z 6 - 675 z 5 - 2887 z 4 + 1587 z 3 - 4199 z 2 + 2496 z - 576 ) log ( 1 - sin - 1 ( z ) ) 576 ( z - 1 ) 5 z 2 - 25 1 - z ( 54 z 6 - 675 z 5 - 2887 z 4 + 1587 z 3 - 4199 z 2 + 2496 z - 576 ) log ( 1 - sin - 1 ( z ) 1 + sin - 1 ( z ) ) 576 ( z - 1 ) 5 z 2 + 25 sin - 1 ( z ) log ( 1 - sin - 1 ( z ) 1 + sin - 1 ( z ) ) z 5 / 2 - 25 1 - z ( 54 z 6 - 675 z 5 - 2887 z 4 + 1587 z 3 - 4199 z 2 + 2496 z - 576 ) log ( 1 + sin - 1 ( z ) ) 576 ( z - 1 ) 5 z 2 + 25 Li PolyLog 2 ( - sin - 1 ( z ) ) z 5 / 2 - 25 Li PolyLog 2 ( sin - 1 ( z ) ) z 5 / 2 HypergeometricPFQ 1 1 5 2 7 2 7 2 z 25 -20 z 3 2 84 z 1 2 9 2 36 z 5 2 -1 -1 25 1 -1 z 1 2 z -4 z 1 2 3 z 5 2 -1 25 1 -1 z 1 2 54 z 6 -1 675 z 5 -1 2887 z 4 1587 z 3 -1 4199 z 2 2496 z -576 1 -1 z 1 2 576 z -1 5 z 2 -1 -1 25 1 -1 z 1 2 54 z 6 -1 675 z 5 -1 2887 z 4 1587 z 3 -1 4199 z 2 2496 z -576 1 -1 z 1 2 1 z 1 2 -1 576 z -1 5 z 2 -1 25 z 1 2 1 -1 z 1 2 1 z 1 2 -1 z 5 2 -1 -1 25 1 -1 z 1 2 54 z 6 -1 675 z 5 -1 2887 z 4 1587 z 3 -1 4199 z 2 2496 z -576 1 z 1 2 576 z -1 5 z 2 -1 25 PolyLog 2 -1 z 1 2 z 5 2 -1 -1 25 PolyLog 2 z 1 2 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02