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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=47/8





http://functions.wolfram.com/07.23.03.bm7m.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, 5/2, -z] == (1/(303025 z^(3/2) (1 + z)^(3/8))) (16 (Sqrt[z] (-171 + 25120 z + 221952 z^2 + 503808 z^3 + 327680 z^4) Cos[(3 ArcTan[Sqrt[z]])/4] - 4 (-57 + 2052 z + 31200 z^2 + 85504 z^3 + 61440 z^4) 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