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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 8 and fixed z and a>0 > For fixed z and a=9/8, b>=a > For fixed z and a=9/8, b=47/8





http://functions.wolfram.com/07.23.03.c2vb.01









  


  








Input Form





Hypergeometric2F1[9/8, 47/8, 5/2, -z] == (1/(324415 z^(3/2) (1 + z)^(9/2))) (16 (Sqrt[z] Sqrt[1 + z] (1881 + 21334 z + 35385 z^2 + 24332 z^3 + 6160 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - (7524 + 9405 z + 36370 z^2 + 46781 z^3 + 27412 z^4 + 6160 z^5) Sinh[ArcSinh[Sqrt[z]]/4]))








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