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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=9/8





http://functions.wolfram.com/07.23.03.b7s9.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 9/8, -(7/2), -z] == (1/(1792 (1 + z)^(5/8))) ((1792 - 3376 z + 6271 z^2 - 14455 z^3 + 68320 z^4 - 283392 z^5 - 405504 z^6) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (1120 - 1900 z + 3529 z^2 - 8302 z^3 + 224640 z^4 + 253440 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