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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=-43/8, b>=a > For fixed z and a=-43/8, b=-15/8





http://functions.wolfram.com/07.23.03.b7k1.01









  


  








Input Form





Hypergeometric2F1[-(43/8), -(15/8), -(3/2), -z] == (1/(368 (1 + z)^(5/8))) ((368 + 2415 z + 9085 z^2 - 9835 z^3 - 5105 z^4 - 1928 z^5 - 320 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (460 + 3105 z + 20771 z^2 + 6835 z^3 + 2485 z^4 + 400 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