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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=16/3, b>=a > For fixed z and a=16/3, b=17/3





http://functions.wolfram.com/07.23.03.8898.01









  


  








Input Form





Hypergeometric2F1[16/3, 17/3, 5/2, z] == (27 (Sqrt[z] (-323 + 352832 z + 1362264 z^2 + 863456 z^3 + 78976 z^4) Cos[ArcSin[Sqrt[z]]/3] - 3 Sqrt[1 - z] (-323 + 12920 z + 127608 z^2 + 135968 z^3 + 19072 z^4) Sin[ArcSin[Sqrt[z]]/3]))/ (9175040 (1 - z)^(17/2) z^(3/2))








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