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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=-8/3, b>=a > For fixed z and a=-8/3, b=-7/3





http://functions.wolfram.com/07.23.03.6142.01









  


  








Input Form





Hypergeometric2F1[-(8/3), -(7/3), 9/2, -z] == (243 (Sqrt[z] (-110592 - 1630208 z - 13791232 z^2 + 581592643 z^3 - 16652729 z^4 - 533827756 z^5 + 76689232 z^6) Cosh[ArcSinh[Sqrt[z]]/3] - 9 Sqrt[1 + z] (-36864 - 532480 z - 4444160 z^2 - 47251456 z^3 + 235308281 z^4 - 140407772 z^5 + 11625392 z^6) Sinh[ArcSinh[Sqrt[z]]/3]))/(176684241305 z^(7/2) 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