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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=7/3, b>=a > For fixed z and a=7/3, b=17/3





http://functions.wolfram.com/07.23.03.8376.01









  


  










Input Form





Hypergeometric2F1[7/3, 17/3, -(11/2), -z] == ((3547348992 + 56614256640 z + 438562308096 z^2 + 2240994836480 z^3 + 8869967183872 z^4 + 32516107796480 z^5 + 188396584026112 z^6 - 578222647391221 z^7 + 195897391111180 z^8 + 1736133702368 z^9 + 124459041088 z^10 + 5593664768 z^11) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[z] Sqrt[1 + z] (-1182449664 - 18039324672 z - 133583929344 z^2 - 654336294912 z^3 - 2505811247104 z^4 - 9121021476864 z^5 + 191460450769887 z^6 - 111626034548876 z^7 + 1676001806112 z^8 + 121662208704 z^9 + 5593664768 z^10) Sinh[ArcSinh[Sqrt[z]]/3])/ (3547348992 (1 + z)^(27/2))










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