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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=-10/3





http://functions.wolfram.com/07.23.03.4588.01









  


  








Input Form





Hypergeometric2F1[-(17/3), -(10/3), -(9/2), -z] == (1/6561) ((1/Sqrt[1 + z]) ((6561 + 31185 z + 57384 z^2 + 48920 z^3 + 16032 z^4 - 1152 z^5 - 1024 z^6) Cosh[ArcSinh[Sqrt[z]]/3]) - Sqrt[z] (2187 + 8856 z + 13064 z^2 + 7712 z^3 + 640 z^4 + 1024 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