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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=2/3





http://functions.wolfram.com/07.23.03.5746.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 2/3, 9/2, -z] == (243 (Sqrt[z] (-34560 - 292864 z - 1152000 z^2 + 887513 z^3 + 2681121 z^4 + 1177896 z^5 + 316064 z^6 + 38080 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (103680 + 847872 z + 3218432 z^2 + 9271296 z^3 + 2198797 z^4 + 1034144 z^5 + 297024 z^6 + 38080 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/(1035494395 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