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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=11/3





http://functions.wolfram.com/07.23.03.5861.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 11/3, -(11/2), -z] == (1/19683) ((1/(1 + z)^(11/2)) ((19683 + 61236 z + 48465 z^2 - 3542 z^3 + 3069 z^4 - 5104 z^5 + 23927 z^6 + 73320 z^7 + 59696 z^8 + 15808 z^9) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/(1 + z)^5) (Sqrt[z] (-6561 - 15795 z - 5544 z^2 + 4114 z^3 - 3905 z^4 + 4713 z^5 + 49400 z^6 + 51792 z^7 + 15808 z^8) Sinh[ArcSinh[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