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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=11/8, b>=a > For fixed z and a=11/8, b=37/8





http://functions.wolfram.com/07.23.03.c3p1.01









  


  








Input Form





Hypergeometric2F1[11/8, 37/8, 11/2, -z] == (1/(32045 z^(9/2) Sqrt[1 + z])) (1024 (4 Sqrt[z] Sqrt[1 + z] (-336 + 62 z - 31 z^2 + 18 z^3) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (1792 + 1200 z - 177 z^2 + 88 z^3 - 72 z^4) 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