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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=-14/3, b>=a > For fixed z and a=-14/3, b=-10/3





http://functions.wolfram.com/07.23.03.5136.01









  


  








Input Form





Hypergeometric2F1[-(14/3), -(10/3), -(1/2), -z] == (1/(741 Sqrt[1 + z])) ((741 + 23465 z - 127876 z^2 - 67944 z^3 + 82016 z^4 - 640 z^5) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (247 + 177556 z - 451992 z^2 + 138976 z^3 + 640 z^4) 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