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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=-1/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), -(1/8), 1/2, -z] == (1/(51 (1 + z)^(3/8))) ((-(-51 + 114 z + 61 z^2 + 16 z^3)) Cos[(3 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (38 + 11 z + 3 z^2) 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