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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=39/8





http://functions.wolfram.com/07.23.03.by2h.01









  


  








Input Form





Hypergeometric2F1[1/8, 39/8, 9/2, -z] == (1/(1341153 z^(7/2) Sqrt[1 + z])) (256 (Sqrt[z] Sqrt[1 + z] (-80 + 161 z - 308 z^2 + 6160 z^3) Cosh[ArcSinh[Sqrt[z]]/4] + (320 - 424 z + 763 z^2 - 2772 z^3 - 6160 z^4) 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