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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=5/3





http://functions.wolfram.com/07.23.03.5775.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 5/3, -(7/2), -z] == (1/(1701 (1 + z)^(3/2))) ((1701 - 324 z + 353 z^2 - 574 z^3 + 2072 z^4 + 2912 z^5) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-567 + 507 z - 518 z^2 + 616 z^3 + 2912 z^4) 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