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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=9/8, b>=a > For fixed z and a=9/8, b=47/8





http://functions.wolfram.com/07.23.03.c2vk.01









  


  








Input Form





Hypergeometric2F1[9/8, 47/8, 11/2, -z] == (1/(5811663 z^(9/2) (1 + z)^(3/2))) (1024 (Sqrt[z] Sqrt[1 + z] (-2240 + 1080 z - 651 z^2 + 308 z^3 + 6160 z^4) Cosh[ArcSinh[Sqrt[z]]/4] + (8960 + 1840 z - 1101 z^2 + 1267 z^3 - 3388 z^4 - 6160 z^5) 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