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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.blm8.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 15/8, 9/2, -z] == (1/(805035 z^(7/2) (1 + z)^(3/8))) (256 (Sqrt[z] (-720 - 2829 z - 2925 z^2 + 6413 z^3 + 10317 z^4 + 6000 z^5 + 1280 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 (-480 - 1956 z - 2209 z^2 + 1950 z^3 + 3567 z^4 + 2180 z^5 + 480 z^6) 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