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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd52.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 33/8, -(3/2), -z] == (1/(1360 (1 + z)^(5/8))) ((-(-1360 + 16575 z - 285600 z^2 + 887040 z^3 + 8785920 z^4 + 9371648 z^5)) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (425 - 5100 z + 805728 z^2 + 3294720 z^3 + 2928640 z^4) 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