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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=-17/3, b>=a > For fixed z and a=-17/3, b=8/3





http://functions.wolfram.com/07.23.03.4791.01









  


  








Input Form





Hypergeometric2F1[-(17/3), 8/3, 5/2, z] == (1/(304557175 z^(3/2))) (27 ((1/Sqrt[1 - z]) (Sqrt[z] (-47872 + 10496213 z - 63463345 z^2 + 160700972 z^3 - 216777808 z^4 + 164230144 z^5 - 66267136 z^6 + 11128832 z^7) Cos[ArcSin[Sqrt[z]]/3]) + (143616 + 2393600 z - 28463801 z^2 + 96232932 z^3 - 156035152 z^4 + 135269888 z^5 - 60702720 z^6 + 11128832 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