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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=-11/3, b>=a > For fixed z and a=-11/3, b=8/3





http://functions.wolfram.com/07.23.03.5835.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 8/3, 9/2, z] == (1/(60911435 z^(7/2))) (243 ((1/Sqrt[1 - z]) (Sqrt[z] (9504 - 26048 z - 1056 z^2 + 224457 z^3 - 529557 z^4 + 525084 z^5 - 248976 z^6 + 46592 z^7) Cos[ArcSin[Sqrt[z]]/3]) + (-28512 + 69696 z + 20064 z^2 + 91520 z^3 - 345821 z^4 + 418068 z^5 - 225680 z^6 + 46592 z^7) 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