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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=47/8





http://functions.wolfram.com/07.23.03.bfu1.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 47/8, -(1/2), -z] == (1/(52 (1 + z)^(5/2))) (-2 Sqrt[1 + z] (-26 + 1131 z + 27575 z^2 + 141472 z^3 + 285552 z^4 + 251136 z^5 + 80640 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-13 + 14953 z + 150326 z^2 + 515792 z^3 + 802080 z^4 + 582912 z^5 + 161280 z^6) 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