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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=39/8





http://functions.wolfram.com/07.23.03.b5nm.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 39/8, -(3/2), -z] == (1/(16 Sqrt[1 + z])) (Sqrt[1 + z] (16 - 305 z + 8740 z^2 + 167888 z^3 + 676096 z^4 + 976640 z^5 + 465920 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (4 - 75 z + 51012 z^2 + 412976 z^3 + 1106176 z^4 + 1209600 z^5 + 465920 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