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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=-8/3, b>=a > For fixed z and a=-8/3, b=14/3





http://functions.wolfram.com/07.23.03.6390.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 14/3, 11/2, z] == (1/(1340051570 z^(9/2))) (6561 (-((1/Sqrt[1 - z]) (Sqrt[z] (2835 - 30 z + 674 z^2 + 2632 z^3 - 183015 z^4 + 446264 z^5 - 380016 z^6 + 110656 z^7) Cos[ArcSin[Sqrt[z]]/3])) - (-8505 - 2430 z - 3862 z^2 - 10024 z^3 - 67809 z^4 + 297752 z^5 - 324688 z^6 + 110656 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