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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=14/3





http://functions.wolfram.com/07.23.03.4888.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 14/3, 7/2, -z] == (81 (Sqrt[z] (-1224 + 14008 z + 4941517 z^2 + 36966189 z^3 + 111447440 z^4 + 174366192 z^5 + 150286656 z^6 + 67974400 z^7 + 12646400 z^8) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (3672 - 43112 z + 980560 z^2 + 15139761 z^3 + 62837840 z^4 + 120761264 z^5 + 121041856 z^6 + 61651200 z^7 + 12646400 z^8) Sinh[ArcSinh[Sqrt[z]]/3]))/ (426380045 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