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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=-1/3





http://functions.wolfram.com/07.23.03.4674.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(1/3), 5/2, -z] == -((27 (Sqrt[z] (69632 - 9425621 z - 6512495 z^2 + 4475958 z^3 + 2082912 z^4 + 735952 z^5 + 162880 z^6 + 16640 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-208896 - 5500928 z + 31667783 z^2 + 3664134 z^3 + 1770816 z^4 + 660752 z^5 + 154560 z^6 + 16640 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/(304557175 z^(3/2) 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