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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=37/8





http://functions.wolfram.com/07.23.03.bm0e.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, 11/2, -z] == (1/(147858095 z^(9/2))) (1024 (8 Sqrt[z] (840 - 275 z + 336 z^2 - 756 z^3 + 22719 z^4 + 68238 z^5 + 64872 z^6 + 20400 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((8960 + 4720 z + 779 z^2 - 4746 z^3 + 42651 z^4 + 400032 z^5 + 784992 z^6 + 600576 z^7 + 163200 z^8) 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