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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=-2/3, b>=a > For fixed z and a=-2/3, b=8/3





http://functions.wolfram.com/07.23.03.7107.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 8/3, -(7/2), z] == (1/(17010 (-1 + z)^5)) ((1/Sqrt[1 - z]) ((-17010 + 85860 z - 165278 z^2 + 131696 z^3 + 28050 z^4 - 22627 z^5 + 5236 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-5670 + 24630 z - 38196 z^2 + 18700 z^3 - 20009 z^4 + 5236 z^5) Sin[ArcSin[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