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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=45/8





http://functions.wolfram.com/07.23.03.c3uw.01









  


  








Input Form





Hypergeometric2F1[11/8, 45/8, 3/2, -z] == (1/97643) (4 (((22307 + 11554 z + 8219 z^2 + 3468 z^3 + 624 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4])/(1 + z)^5 - ((-2805 + 27249 z + 15269 z^2 + 9875 z^3 + 3780 z^4 + 624 z^5) Sinh[(3 ArcSinh[Sqrt[z]])/4])/(Sqrt[z] (1 + z)^(11/2))))








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