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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=11/3





http://functions.wolfram.com/07.23.03.5865.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 11/3, -(7/2), -z] == (1/8505) ((1/(1 + z)^(7/2)) ((8505 - 2430 z + 3862 z^2 - 10024 z^3 + 67809 z^4 + 297752 z^5 + 324688 z^6 + 110656 z^7) Cosh[ArcSinh[Sqrt[z]]/3]) + (1/(1 + z)^3) (Sqrt[z] (-2835 + 2805 z - 3479 z^2 + 6111 z^3 + 176904 z^4 + 269360 z^5 + 110656 z^6) 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