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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 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=-17/8





http://functions.wolfram.com/07.23.03.b4v1.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(17/8), 3/2, z] == (1/2830905) (4 (-4 (-179026 - 1537483 z - 1782598 z^2 - 119250 z^3 + 15830 z^4 - 2107 z^5 + 154 z^6) Cos[ArcSin[Sqrt[z]]/4] - (1/Sqrt[(-(-1 + z)) z]) ((33511 + 926837 z + 1253798 z^2 - 1765838 z^3 - 507645 z^4 + 67457 z^5 - 8736 z^6 + 616 z^7) Sin[ArcSin[Sqrt[z]]/4])))










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