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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=-1/3





http://functions.wolfram.com/07.23.03.5722.01









  


  








Input Form





Hypergeometric2F1[-(11/3), -(1/3), 9/2, -z] == -((243 (Sqrt[z] (69120 + 783872 z + 4681728 z^2 - 68614527 z^3 - 67034777 z^4 + 6481998 z^5 + 1022856 z^6 + 87584 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-207360 - 2290176 z - 13393920 z^2 - 84502528 z^3 + 173726165 z^4 + 6003414 z^5 + 979064 z^6 + 87584 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/ (23816371085 z^(7/2) Sqrt[1 + z]))








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