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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/07.23.03.4551.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(16/3), 3/2, z] == (1/363398275) (3 (-((1/Sqrt[1 - z]) (9 (-12837817 - 219214443 z - 588245388 z^2 + 20212400 z^3 + 586080768 z^4 + 203124480 z^5 + 10880000 z^6) Cos[ArcSin[Sqrt[z]]/3])) + (1/Sqrt[z]) ((16777216 + 1246473003 z + 10799542500 z^2 + 24230605264 z^3 + 16704215808 z^4 + 3311397120 z^5 + 125240320 z^6) Sin[ArcSin[Sqrt[z]]/3])))










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