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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=-5/3, b>=a > For fixed z and a=-5/3, b=17/3





http://functions.wolfram.com/07.23.03.6861.01









  


  










Input Form





Hypergeometric2F1[-(5/3), 17/3, 11/2, z] == (1/(1994495360 z^(9/2))) (6561 ((1/Sqrt[1 - z]) (Sqrt[z] (-405 - 690 z - 1517 z^2 - 4668 z^3 + 270192 z^4 - 515840 z^5 + 252928 z^6) Cos[ArcSin[Sqrt[z]]/3]) + (1215 + 2430 z + 5431 z^2 + 16028 z^3 + 107120 z^4 - 389376 z^5 + 252928 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