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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=45/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 45/8, 3/2, -z] == (1/7511) (4 ((4 (521 + 5154 z + 14380 z^2 + 15344 z^3 + 5600 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4])/(1 + z)^2 - ((275 + 8163 z + 43104 z^2 + 85408 z^3 + 72576 z^4 + 22400 z^5) Sinh[(3 ArcSinh[Sqrt[z]])/4])/(Sqrt[z] (1 + z)^(5/2))))








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