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





http://functions.wolfram.com/07.23.03.4628.01









  


  










Input Form





Hypergeometric2F1[-(17/3), -(7/3), 7/2, -z] == -((81 (Sqrt[z] (589824 + 15728640 z - 3079273519 z^2 + 6494643579 z^3 + 4641090450 z^4 - 4866815576 z^5 + 87723840 z^6 + 6915456 z^7 + 341504 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-1769472 - 46661632 z - 1281753088 z^2 + 16000395621 z^3 - 27267464342 z^4 + 8735970520 z^5 + 84394176 z^6 + 6744704 z^7 + 341504 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))/(284395490015 z^(5/2) 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