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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=-17/3, b>=a > For fixed z and a=-17/3, b=-13/3





http://functions.wolfram.com/07.23.03.4574.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(13/3), 1/2, -z] == (1/(67735 Sqrt[1 + z])) ((67735 - 2881131 z + 10152126 z^2 + 1057328 z^3 - 9918672 z^4 + 2119104 z^5 - 5888 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (1245917 - 17196830 z + 43134032 z^2 - 26150128 z^3 + 3155392 z^4 + 5888 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