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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=4/3, b>=a > For fixed z and a=4/3, b=11/3





http://functions.wolfram.com/07.23.03.7956.01









  


  








Input Form





Hypergeometric2F1[4/3, 11/3, -(5/2), z] == (1/(103680 (-1 + z)^7)) ((1/Sqrt[1 - z]) ((-103680 + 986112 z - 4836352 z^2 + 24610816 z^3 + 39225333 z^4 - 842996 z^5 + 68816 z^6) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (-34560 + 304384 z - 1400576 z^2 - 17832159 z^3 - 808588 z^4 + 68816 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