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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/07.23.03.5867.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 11/3, -(5/2), -z] == (1/(405 (1 + z)^(5/2))) ((-(-405 + 1143 z - 4277 z^2 + 37989 z^3 + 211848 z^4 + 278096 z^5 + 110656 z^6)) Cosh[ArcSinh[Sqrt[z]]/3] - Sqrt[z] Sqrt[1 + z] (135 - 476 z + 1771 z^2 + 114296 z^3 + 222768 z^4 + 110656 z^5) 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