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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=-37/8, b>=a > For fixed z and a=-37/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 45/8, -(5/2), -z] == (1/(64 (1 + z)^(7/2))) ((-Sqrt[1 + z]) (-64 + 456 z - 3387 z^2 + 56049 z^3 + 907188 z^4 + 3306160 z^5 + 5091840 z^6 + 3590400 z^7 + 957440 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-48 + 335 z - 2486 z^2 + 300543 z^3 + 2110788 z^4 + 5463120 z^5 + 6767360 z^6 + 4069120 z^7 + 957440 z^8) Sinh[(3 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