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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=23/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 23/8, -(5/2), -z] == (1/(960 (1 + z)^(3/2))) ((-Sqrt[1 + z]) (-960 + 3288 z - 11495 z^2 + 80520 z^3 + 404624 z^4 + 307648 z^5) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-240 + 747 z - 2585 z^2 + 244376 z^3 + 558448 z^4 + 307648 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