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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=-17/8





http://functions.wolfram.com/07.23.03.b4un.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(17/8), -(9/2), -z] == (1/(322560 Sqrt[1 + z])) (4 Sqrt[1 + z] (80640 + 226240 z + 181445 z^2 + 14943 z^3 - 5253 z^4 + 6783 z^5 + 7854 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (80640 + 251440 z + 241435 z^2 + 47838 z^3 - 11373 z^4 + 42840 z^5 + 31416 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