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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=-21/8, b>=a > For fixed z and a=-21/8, b=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), -(3/8), -(9/2), -z] == (1/(3072 (1 + z)^(3/2))) (Sqrt[1 + z] (3072 + 4608 z + 1380 z^2 - 97 z^3 + 20 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] - Sqrt[z] (2304 + 3792 z + 1329 z^2 - 87 z^3 + 20 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