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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=-27/8, b>=a > For fixed z and a=-27/8, b=-15/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), -(15/8), 5/2, -z] == -((1/(9269 z^(3/2) (1 + z)^(5/8))) (16 (Sqrt[z] (-5 - 744 z + 3066 z^2 - 1956 z^3 + 131 z^4 + 4 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] + (4 + 131 z - 1956 z^2 + 3066 z^3 - 744 z^4 - 5 z^5) Sin[(5 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