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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=-39/8, b>=a > For fixed z and a=-39/8, b=-9/8





http://functions.wolfram.com/07.23.03.b9xo.01









  


  








Input Form





Hypergeometric2F1[-(39/8), -(9/8), -(5/2), -z] == (1/320) (4 (80 + 178 z + 33 z^2 - 48 z^3 - 105 z^4 - 42 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z/(1 + z)] (-80 - 203 z - 78 z^2 + 381 z^3 + 504 z^4 + 168 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