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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=-14/3, b>=a > For fixed z and a=-14/3, b=8/3





http://functions.wolfram.com/07.23.03.5336.01









  


  










Input Form





Hypergeometric2F1[-(14/3), 8/3, 11/2, -z] == (6561 (Sqrt[z] (-72576 - 374016 z - 587264 z^2 + 3206379 z^4 + 7848063 z^5 + 8841028 z^6 + 5474352 z^7 + 1813760 z^8 + 252928 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (217728 + 1057536 z + 1477120 z^2 - 315392 z^3 + 1320704 z^4 + 4982791 z^5 + 6704972 z^6 + 4662320 z^7 + 1687296 z^8 + 252928 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))/ (23450902475 z^(9/2) 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