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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=-47/8, b>=a > For fixed z and a=-47/8, b=31/8





http://functions.wolfram.com/07.23.03.b5id.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 31/8, -(7/2), -z] == (1/(8960 (1 + z)^(3/2))) (Sqrt[1 + z] (8960 - 49040 z + 217099 z^2 - 1117010 z^3 + 12410800 z^4 + 107420832 z^5 + 188630784 z^6 + 94993920 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (1120 - 5780 z + 25073 z^2 - 130245 z^3 + 24239744 z^4 + 94930992 z^5 + 118063872 z^6 + 47496960 z^7) 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