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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 3 and fixed z > For fixed z and a=-11/3, b>=a > For fixed z and a=-11/3, b=14/3





http://functions.wolfram.com/07.23.03.5926.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 14/3, 9/2, -z] == (1/(60911435 z^(7/2))) (243 (Sqrt[z/(1 + z)] (135 - 404 z + 1834 z^2 + 229509 z^3 + 893984 z^4 + 1330784 z^5 + 885248 z^6 + 221312 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + (-405 + 1332 z - 5950 z^2 + 65436 z^3 + 491400 z^4 + 971152 z^5 + 774592 z^6 + 221312 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))








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