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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=-13/8, b>=a > For fixed z and a=-13/8, b=5/8





http://functions.wolfram.com/07.23.03.bq3e.01









  


  








Input Form





Hypergeometric2F1[-(13/8), 5/8, 5/2, -z] == (1/(1785 z^(3/2))) (16 (Sqrt[z] (39 + 322 z + 119 z^2 + 28 z^3) Cosh[(3 ArcSinh[Sqrt[z]])/4] - ((52 + 325 z + 378 z^2 + 133 z^3 + 28 z^4) Sinh[(3 ArcSinh[Sqrt[z]])/4])/ Sqrt[1 + z]))








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