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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=25/8, b>=a > For fixed z and a=25/8, b=47/8





http://functions.wolfram.com/07.23.03.c9z6.01









  


  










Input Form





Hypergeometric2F1[25/8, 47/8, -(7/2), -z] == (1/(1277696 (1 + z)^(25/2))) ((-Sqrt[1 + z]) (-1277696 - 22074480 z - 203443855 z^2 - 1526662766 z^3 - 18019284657 z^4 + 76863097296 z^5 - 45067543905 z^6 + 2646114570 z^7 + 122666433 z^8 + 4776996 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-319424 - 5618440 z - 52543109 z^2 - 396851522 z^3 - 152589375987 z^4 + 301187085984 z^5 - 108523113915 z^6 + 2706850662 z^7 + 125054931 z^8 + 4776996 z^9) 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