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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=-31/8, b>=a > For fixed z and a=-31/8, b=-9/8





http://functions.wolfram.com/07.23.03.bex3.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(9/8), 3/2, -z] == (1/40755) (4 ((10367 - 31855 z + 3289 z^2 + 507 z^3 + 52 z^4) Cosh[ArcSinh[Sqrt[z]]/4] - ((713 - 7212 z - 4870 z^2 + 3536 z^3 + 533 z^4 + 52 z^5) Sinh[ArcSinh[Sqrt[z]]/4])/(Sqrt[z] 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