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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 8 and fixed z and a<0 > For fixed z and a=-21/8, b>=a > For fixed z and a=-21/8, b=15/8





http://functions.wolfram.com/07.23.03.bll4.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 15/8, -(9/2), -z] == (1/(3072 (1 + z)^(27/8))) ((3072 + 6144 z + 1860 z^2 - 973 z^3 + 891 z^4 - 1200 z^5 - 1280 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (2304 + 4272 z + 849 z^2 - 747 z^3 + 760 z^4 + 960 z^5) Sin[(3 ArcTan[Sqrt[z]])/4])










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