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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.b6t1.01

 Input Form

 Hypergeometric2F1[-(45/8), 2, 35/8, z] == (1/(7696581394432 z^(27/8))) (57 (-1)^(1/4) (2448886440 (-1)^(3/4) z^(3/8) - 12092109120 (-1)^(3/4) z^(11/8) + 10826655840 (-1)^(3/4) z^(19/8) - 78840741056 (-1)^(3/4) z^(27/8) + 151848051696 (-1)^(3/4) z^(35/8) - 155515859136 (-1)^(3/4) z^(43/8) + 91937627232 (-1)^(3/4) z^(51/8) - 29743560000 (-1)^(3/4) z^(59/8) + 4098662568 (-1)^(3/4) z^(67/8) + 48333285 (-1)^(3/4) (-1 + z)^8 (19 + 53 z) Log[1 - z^(1/8)] - 48333285 (-1)^(1/4) (-1 + z)^8 (19 + 53 z) Log[1 - I z^(1/8)] + 918332415 (-1)^(1/4) Log[1 + I z^(1/8)] - 4784995215 (-1)^(1/4) z Log[1 + I z^(1/8)] + 5219994780 (-1)^(1/4) z^2 Log[1 + I z^(1/8)] + 20299979700 (-1)^(1/4) z^3 Log[1 + I z^(1/8)] - 79169920830 (-1)^(1/4) z^4 Log[1 + I z^(1/8)] + 127889872110 (-1)^(1/4) z^5 Log[1 + I z^(1/8)] - 117739882260 (-1)^(1/4) z^6 Log[1 + I z^(1/8)] + 64379935620 (-1)^(1/4) z^7 Log[1 + I z^(1/8)] - 19574980425 (-1)^(1/4) z^8 Log[1 + I z^(1/8)] + 2561664105 (-1)^(1/4) z^9 Log[1 + I z^(1/8)] - 918332415 (-1)^(3/4) Log[1 + z^(1/8)] + 4784995215 (-1)^(3/4) z Log[1 + z^(1/8)] - 5219994780 (-1)^(3/4) z^2 Log[1 + z^(1/8)] - 20299979700 (-1)^(3/4) z^3 Log[1 + z^(1/8)] + 79169920830 (-1)^(3/4) z^4 Log[1 + z^(1/8)] - 127889872110 (-1)^(3/4) z^5 Log[1 + z^(1/8)] + 117739882260 (-1)^(3/4) z^6 Log[1 + z^(1/8)] - 64379935620 (-1)^(3/4) z^7 Log[1 + z^(1/8)] + 19574980425 (-1)^(3/4) z^8 Log[1 + z^(1/8)] - 2561664105 (-1)^(3/4) z^9 Log[1 + z^(1/8)] + 918332415 Log[1 - (-1)^(1/4) z^(1/8)] - 4784995215 z Log[1 - (-1)^(1/4) z^(1/8)] + 5219994780 z^2 Log[1 - (-1)^(1/4) z^(1/8)] + 20299979700 z^3 Log[1 - (-1)^(1/4) z^(1/8)] - 79169920830 z^4 Log[1 - (-1)^(1/4) z^(1/8)] + 127889872110 z^5 Log[1 - (-1)^(1/4) z^(1/8)] - 117739882260 z^6 Log[1 - (-1)^(1/4) z^(1/8)] + 64379935620 z^7 Log[1 - (-1)^(1/4) z^(1/8)] - 19574980425 z^8 Log[1 - (-1)^(1/4) z^(1/8)] + 2561664105 z^9 Log[1 - (-1)^(1/4) z^(1/8)] - 918332415 Log[1 + (-1)^(1/4) z^(1/8)] + 4784995215 z Log[1 + (-1)^(1/4) z^(1/8)] - 5219994780 z^2 Log[1 + (-1)^(1/4) z^(1/8)] - 20299979700 z^3 Log[1 + (-1)^(1/4) z^(1/8)] + 79169920830 z^4 Log[1 + (-1)^(1/4) z^(1/8)] - 127889872110 z^5 Log[1 + (-1)^(1/4) z^(1/8)] + 117739882260 z^6 Log[1 + (-1)^(1/4) z^(1/8)] - 64379935620 z^7 Log[1 + (-1)^(1/4) z^(1/8)] + 19574980425 z^8 Log[1 + (-1)^(1/4) z^(1/8)] - 2561664105 z^9 Log[1 + (-1)^(1/4) z^(1/8)] + 918332415 I Log[1 - (-1)^(3/4) z^(1/8)] - 4784995215 I z Log[1 - (-1)^(3/4) z^(1/8)] + 5219994780 I z^2 Log[1 - (-1)^(3/4) z^(1/8)] + 20299979700 I z^3 Log[1 - (-1)^(3/4) z^(1/8)] - 79169920830 I z^4 Log[1 - (-1)^(3/4) z^(1/8)] + 127889872110 I z^5 Log[1 - (-1)^(3/4) z^(1/8)] - 117739882260 I z^6 Log[1 - (-1)^(3/4) z^(1/8)] + 64379935620 I z^7 Log[1 - (-1)^(3/4) z^(1/8)] - 19574980425 I z^8 Log[1 - (-1)^(3/4) z^(1/8)] + 2561664105 I z^9 Log[1 - (-1)^(3/4) z^(1/8)] - 918332415 I Log[1 + (-1)^(3/4) z^(1/8)] + 4784995215 I z Log[1 + (-1)^(3/4) z^(1/8)] - 5219994780 I z^2 Log[1 + (-1)^(3/4) z^(1/8)] - 20299979700 I z^3 Log[1 + (-1)^(3/4) z^(1/8)] + 79169920830 I z^4 Log[1 + (-1)^(3/4) z^(1/8)] - 127889872110 I z^5 Log[1 + (-1)^(3/4) z^(1/8)] + 117739882260 I z^6 Log[1 + (-1)^(3/4) z^(1/8)] - 64379935620 I z^7 Log[1 + (-1)^(3/4) z^(1/8)] + 19574980425 I z^8 Log[1 + (-1)^(3/4) z^(1/8)] - 2561664105 I z^9 Log[1 + (-1)^(3/4) z^(1/8)]))

 Standard Form

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 MathML Form

 2 F 1 ( - 45 8 , 2 ; 35 8 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["45", "8"]]], 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[TagBox[TagBox[FractionBox["35", "8"], 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] 1 7696581394432 z 27 / 8 ( 57 - 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 Rule Form

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

 2007-05-02