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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.0337.01

 Input Form

 HypergeometricPFQ[{1/8, 3/8, 1}, {9/8, 11/8}, z] == (-(1/(16 z^(3/8)))) 3 ((-1 + z^(1/4)) Log[1 - z^(1/8)] - I (1 + z^(1/4)) Log[1 - I z^(1/8)] + I Log[1 + I z^(1/8)] + I z^(1/4) Log[1 + I z^(1/8)] + Log[1 + z^(1/8)] - z^(1/4) Log[1 + z^(1/8)] + (-1)^(1/4) Log[1 - (-1)^(1/4) z^(1/8)] - (-1)^(3/4) z^(1/4) Log[1 - (-1)^(1/4) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(1/4) z^(1/8)] + (-1)^(3/4) z^(1/4) Log[1 + (-1)^(1/4) z^(1/8)] + (-1)^(3/4) Log[1 - (-1)^(3/4) z^(1/8)] - (-1)^(1/4) z^(1/4) Log[1 - (-1)^(3/4) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(3/4) z^(1/8)] + (-1)^(1/4) z^(1/4) Log[1 + (-1)^(3/4) z^(1/8)])

 Standard Form

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 MathML Form

 3 F 2 ( 1 8 , 3 8 , 1 ; 9 8 , 11 8 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["3", TraditionalForm]], SubscriptBox["F", FormBox["2", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[FractionBox["1", "8"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[FractionBox["3", "8"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox["1", HypergeometricPFQ, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[FractionBox["9", "8"], HypergeometricPFQ, Rule[Editable, True]], ",", TagBox[FractionBox["11", "8"], 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] - 3 16 z 3 / 8 ( - log ( z 8 + 1 ) z 4 + ( - 1 ) 3 / 4 log ( - 1 4 z 8 + 1 ) z 4 + - 1 4 log ( ( - 1 ) 3 / 4 z 8 + 1 ) z 4 + log ( z 8 + 1 ) z 4 - ( - 1 ) 3 / 4 log ( 1 - - 1 4 z 8 ) z 4 - - 1 4 log ( 1 - ( - 1 ) 3 / 4 z 8 ) z 4 + ( z 4 - 1 ) log ( 1 - z 8 ) + log ( z 8 + 1 ) - - 1 4 log ( - 1 4 z 8 + 1 ) - ( - 1 ) 3 / 4 log ( ( - 1 ) 3 / 4 z 8 + 1 ) + log ( z 8 + 1 ) + - 1 4 log ( 1 - - 1 4 z 8 ) + ( - 1 ) 3 / 4 log ( 1 - ( - 1 ) 3 / 4 z 8 ) - ( z 4 + 1 ) log ( 1 - z 8 ) ) HypergeometricPFQ 1 8 3 8 1 9 8 11 8 z -1 3 16 z 3 8 -1 -1 z 1 8 1 z 1 4 -1 3 4 -1 1 4 z 1 8 1 z 1 4 -1 1 4 -1 3 4 z 1 8 1 z 1 4 z 1 8 1 z 1 4 -1 -1 3 4 1 -1 -1 1 4 z 1 8 z 1 4 -1 -1 1 4 1 -1 -1 3 4 z 1 8 z 1 4 z 1 4 -1 1 -1 z 1 8 z 1 8 1 -1 -1 1 4 -1 1 4 z 1 8 1 -1 -1 3 4 -1 3 4 z 1 8 1 z 1 8 1 -1 1 4 1 -1 -1 1 4 z 1 8 -1 3 4 1 -1 -1 3 4 z 1 8 -1 z 1 4 1 1 -1 z 1 8 [/itex]

 Rule Form

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

 2001-10-29