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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=17/3





http://functions.wolfram.com/07.23.03.5952.01









  


  








Input Form





Hypergeometric2F1[-(11/3), 17/3, -(9/2), z] == (1/(183708 (-1 + z)^6)) ((1/Sqrt[1 - z]) ((183708 - 356076 z - 59580 z^2 - 87228 z^3 - 239316 z^4 - 1920996 z^5 + 11822967 z^6 - 22202440 z^7 + 19929936 z^8 - 8868288 z^9 + 1580800 z^10) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (61236 - 75600 z - 68356 z^2 - 80696 z^3 - 143220 z^4 + 5856383 z^5 - 15069080 z^6 + 16088592 z^7 - 8077888 z^8 + 1580800 z^9) 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