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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=5/3





http://functions.wolfram.com/07.23.03.5790.01









  


  










Input Form





Hypergeometric2F1[-(11/3), 5/3, 9/2, z] == (1/(60911435 z^(7/2))) (243 ((1/Sqrt[1 - z]) (Sqrt[z] (-8640 + 48448 z - 92608 z^2 + 227977 z^3 - 348035 z^4 + 252658 z^5 - 94360 z^6 + 14560 z^7) Cos[ArcSin[Sqrt[z]]/3]) + (25920 - 137664 z + 240448 z^2 + 123200 z^3 - 252541 z^4 + 210938 z^5 - 87080 z^6 + 14560 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