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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=17/3





http://functions.wolfram.com/07.23.03.4919.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 17/3, -(9/2), -z] == (1/(6561 (1 + z)^(9/2))) ((-(-6561 + 16929 z - 47988 z^2 + 166090 z^3 - 831545 z^4 + 10680813 z^5 + 99607196 z^6 + 260788528 z^7 + 310469120 z^8 + 176733440 z^9 + 39203840 z^10)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (2187 - 7182 z + 21218 z^2 - 70928 z^3 + 329043 z^4 + 41129452 z^5 + 159577808 z^6 + 236803840 z^7 + 157131520 z^8 + 39203840 z^9) 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