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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=-11/3, b>=a > For fixed z and a=-11/3, b=8/3





http://functions.wolfram.com/07.23.03.5815.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 8/3, -(11/2), z] == (1/(19683 (-1 + z)^4)) ((1/Sqrt[1 - z]) ((19683 - 54675 z + 38178 z^2 + 2282 z^3 + 1655 z^4 + 2249 z^5 + 8180 z^6 - 16432 z^7 + 6656 z^8) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (6561 - 13608 z + 3654 z^2 + 2532 z^3 + 2257 z^4 + 2460 z^5 - 13104 z^6 + 6656 z^7) 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