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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=1/8, b>=a > For fixed z and a=1/8, b=39/8





http://functions.wolfram.com/07.23.03.by1h.01









  


  








Input Form





Hypergeometric2F1[1/8, 39/8, -(11/2), -z] == (1/(224874496 (1 + z)^(21/2))) (Sqrt[1 + z] (224874496 + 2280687360 z + 10455546080 z^2 + 28617044291 z^3 + 52143970887 z^4 + 67537768514 z^5 + 73100431950 z^6 + 35405282055 z^7 + 12417162667 z^8 + 2650812164 z^9 + 257777520 z^10) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (56218624 + 587740160 z + 2784598684 z^2 + 7899725567 z^3 + 14965740947 z^4 + 20182749826 z^5 + 89406533970 z^6 + 41298622963 z^7 + 13710346559 z^8 + 2779700924 z^9 + 257777520 z^10) 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