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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=27/8, b>=a > For fixed z and a=27/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[27/8, 37/8, -(3/2), -z] == (1/(8816 (1 + z)^(19/2))) ((-Sqrt[1 + z]) (-8816 - 173565 z - 3448158 z^2 + 24010826 z^3 - 20470080 z^4 + 2397819 z^5 + 27094 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (-3306 - 65569 z - 4155893 z^2 + 16643246 z^3 - 11494348 z^4 + 1205683 z^5 + 13547 z^6) Sinh[(3 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