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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=-29/8, b>=a > For fixed z and a=-29/8, b=13/8





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









  


  








Input Form





Hypergeometric2F1[-(29/8), 13/8, -(11/2), -z] == (1/(135168 (1 + z)^(7/2))) (Sqrt[1 + z] (135168 + 298752 z + 144480 z^2 - 21133 z^3 + 11729 z^4 - 9954 z^5 + 15600 z^6 + 21216 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 2 Sqrt[z] (50688 + 119424 z + 65898 z^2 - 6939 z^3 + 3064 z^4 - 2403 z^5 + 13104 z^6 + 10608 z^7) 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