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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 3 and fixed z > For fixed z and a=-17/3, b>=a > For fixed z and a=-17/3, b=-16/3





http://functions.wolfram.com/07.23.03.4555.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(16/3), 7/2, z] == (81 (-9 Sqrt[z] (16777216 - 721420288 z - 369501693603 z^2 - 2442372446249 z^3 - 2668067595460 z^4 + 2094899564688 z^5 + 2761103827456 z^6 + 601445623040 z^7 + 23197363200 z^8) Cos[ArcSin[Sqrt[z]]/3] + Sqrt[1 - z] (452984832 - 19344130048 z + 947157729280 z^2 + 23850860229609 z^3 + 103819823610380 z^4 + 140193192810736 z^5 + 64608196889856 z^6 + 9176313578240 z^7 + 261422525440 z^8) Sin[ArcSin[Sqrt[z]]/3]))/ (295093135754795 Sqrt[1 - z] z^(5/2))










Standard Form





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MathML Form







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Rule Form





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





2007-05-02