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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=-7/3





http://functions.wolfram.com/07.23.03.5668.01









  


  








Input Form





Hypergeometric2F1[-(11/3), -(7/3), 3/2, -z] == (1/104975) (3 (-(((-32261 + 116629 z + 74706 z^2 - 73640 z^3 + 544 z^4) Cosh[ArcSinh[Sqrt[z]]/3])/Sqrt[1 + z]) + ((8192 - 204631 z + 431670 z^2 - 123688 z^3 - 544 z^4) Sinh[ArcSinh[Sqrt[z]]/3])/Sqrt[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