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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=2/3





http://functions.wolfram.com/07.23.03.4700.01









  


  










Input Form





Hypergeometric2F1[-(17/3), 2/3, 7/2, -z] == (81 (Sqrt[z] (-313344 - 3237888 z + 17109995 z^2 + 41265459 z^3 + 37129536 z^4 + 23586136 z^5 + 9842400 z^6 + 2421120 z^7 + 266240 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (940032 + 9435136 z + 56541184 z^2 + 29066247 z^3 + 28343568 z^4 + 19489656 z^5 + 8731680 z^6 + 2288000 z^7 + 266240 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))/ (2984660315 z^(5/2) 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