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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=-14/3, b>=a > For fixed z and a=-14/3, b=17/3





http://functions.wolfram.com/07.23.03.5474.01









  


  








Input Form





Hypergeometric2F1[-(14/3), 17/3, 11/2, -z] == (1/(4690180495 z^(9/2))) (6561 (Sqrt[z/(1 + z)] (-81 + 219 z - 778 z^2 + 4070 z^3 + 659802 z^4 + 3207646 z^5 + 6354816 z^6 + 6331104 z^7 + 3161600 z^8 + 632320 z^9) Cosh[ArcSinh[Sqrt[z]]/3] + (243 - 729 z + 2582 z^2 - 13090 z^3 + 169455 z^4 + 1589302 z^5 + 4177264 z^6 + 4987424 z^7 + 2845440 z^8 + 632320 z^9) Sinh[ArcSinh[Sqrt[z]]/3]))








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