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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=4/3, b>=a > For fixed z and a=4/3, b=5/3





http://functions.wolfram.com/07.23.03.7873.01









  


  








Input Form





Hypergeometric2F1[4/3, 5/3, -(9/2), -z] == (1/(52488 (1 + z)^(15/2))) ((52488 + 422496 z + 1519200 z^2 + 3263808 z^3 + 4920624 z^4 + 7793280 z^5 - 3456735 z^6) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-17496 - 128520 z - 417304 z^2 - 803496 z^3 - 1102440 z^4 + 2209445 z^5) 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