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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=11/3





http://functions.wolfram.com/07.23.03.4845.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 11/3, 11/2, -z] == (6561 (Sqrt[z] (154224 + 427584 z - 3264 z^2 + 163200 z^3 + 18066429 z^4 + 70530963 z^5 + 124849478 z^6 + 124372352 z^7 + 72440160 z^8 + 23174528 z^9 + 3161600 z^10) Cosh[ArcSinh[Sqrt[z]]/3] + Sqrt[1 + z] (-462672 - 1145664 z + 288320 z^2 - 689792 z^3 + 5571104 z^4 + 37667041 z^5 + 83450822 z^6 + 95854720 z^7 + 62038496 z^8 + 21593728 z^9 + 3161600 z^10) Sinh[ArcSinh[Sqrt[z]]/3]))/ (130045913725 z^(9/2) 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