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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/07.23.03.4627.01









  


  










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) Cos[ArcSin[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) Sin[ArcSin[Sqrt[z]]/3]))/(284395490015 Sqrt[1 - z] z^(5/2)))










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