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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=5/3





http://functions.wolfram.com/07.23.03.7061.01









  


  








Input Form





Hypergeometric2F1[-(2/3), 5/3, -(11/2), z] == (1/(1515591 (-1 + z)^6)) ((1/Sqrt[1 - z]) ((1515591 - 9629361 z + 25573779 z^2 - 36188597 z^3 + 28272565 z^4 - 10435923 z^5 - 873103 z^6 + 249458 z^7) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (505197 - 2854278 z + 6554835 z^2 - 7650572 z^3 + 4448931 z^4 - 748374 z^5 + 249458 z^6) 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