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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/07.23.03.6370.01









  


  








Input Form





Hypergeometric2F1[-(8/3), 14/3, -(9/2), z] == (1/(13122 (-1 + z)^6)) ((1/Sqrt[1 - z]) ((13122 - 49734 z + 50130 z^2 + 5698 z^3 + 8206 z^4 + 39886 z^5 - 145697 z^6 + 164840 z^7 - 82576 z^8 + 15808 z^9) Cos[ArcSin[Sqrt[z]]/3]) + Sqrt[z] (4374 - 13500 z + 7546 z^2 + 6336 z^3 + 7370 z^4 - 89303 z^5 + 129480 z^6 - 74672 z^7 + 15808 z^8) 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