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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.b5ij.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 31/8, -(3/2), -z] == (1/(48 Sqrt[1 + z])) (Sqrt[1 + z] (48 - 727 z + 17290 z^2 + 285584 z^3 + 1007072 z^4 + 1293568 z^5 + 555520 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (6 - 89 z + 46673 z^2 + 331072 z^3 + 792208 z^4 + 785664 z^5 + 277760 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