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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=1/8, b>=a > For fixed z and a=1/8, b=31/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 31/8, 11/2, -z] == (1/(72105 z^(9/2))) (1024 (4 Sqrt[z] (-16 - 10 z + 4 z^2 - 3 z^3 + 22 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - ((-256 - 336 z - 25 z^2 - z^3 + 32 z^4 + 88 z^5) Sinh[ArcSinh[Sqrt[z]]/4])/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