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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=-25/8





http://functions.wolfram.com/07.23.03.b4sf.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(25/8), 9/2, -z] == (256 (Sqrt[z] Sqrt[1 + z] (536176 + 13236845 z + 207131491 z^2 + 217803931141 z^3 - 918364321353 z^4 + 901658971683 z^5 - 216557677479 z^6 + 4101562887 z^7 + 150645981 z^8 + 4776996 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - (2144704 + 54421864 z + 864751355 z^2 + 19464495729 z^3 - 156561877901 z^4 + 95536606245 z^5 + 173952600189 z^6 - 92769874221 z^7 + 4176288753 z^8 + 153034479 z^9 + 4776996 z^10) Sinh[ArcSinh[Sqrt[z]]/4]))/ (54548261242893 z^(7/2) Sqrt[1 + z])










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