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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=7/8





http://functions.wolfram.com/07.23.03.b54r.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 7/8, 5/2, -z] == (1/(405628245 z^(3/2) Sqrt[1 + z])) (16 (Sqrt[z] Sqrt[1 + z] (435643 + 29299780 z + 61925666 z^2 + 83970508 z^3 + 72341643 z^4 + 38610440 z^5 + 11687280 z^6 + 1538240 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (1742572 + 16990077 z + 53067460 z^2 + 96866894 z^3 + 115985392 z^4 + 90282093 z^5 + 44261800 z^6 + 12456400 z^7 + 1538240 z^8) 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