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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=-8/3, b>=a > For fixed z and a=-8/3, b=5/3





http://functions.wolfram.com/07.23.03.6260.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 5/3, 11/2, -z] == (6561 (Sqrt[z] (90720 + 558240 z + 1363168 z^2 + 1494048 z^3 + 1617737 z^4 + 1558645 z^5 + 644028 z^6 + 104720 z^7) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-272160 - 1594080 z - 3653024 z^2 - 3588448 z^3 + 1047200 z^4 + 1275901 z^5 + 591668 z^6 + 104720 z^7) Sinh[ArcSinh[Sqrt[z]]/3]))/(11390438345 z^(9/2) 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