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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=-37/8, b>=a > For fixed z and a=-37/8, b=-11/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(11/8), 9/2, -z] == (256 (Sqrt[z] Sqrt[1 + z] (51504 + 812261 z + 7451985 z^2 + 238678962 z^3 - 600775814 z^4 + 191506809 z^5 + 9015885 z^6 + 867008 z^7 + 51336 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 4 (17168 + 285418 z + 2714690 z^2 + 31326235 z^3 - 90074839 z^4 - 72127646 z^5 + 48977396 z^6 + 2360743 z^7 + 223169 z^8 + 12834 z^9) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (38666050605 z^(7/2) 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