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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=41/8





http://functions.wolfram.com/07.23.03.c8b0.01









  


  








Input Form





Hypergeometric2F1[21/8, 41/8, -(5/2), -z] == (1/(320 (1 + z)^(77/8))) ((320 + 4552 z + 39049 z^2 + 477420 z^3 - 1225890 z^4 + 266500 z^5 + 12833 z^6 + 656 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (400 + 5765 z + 49880 z^2 - 1060794 z^3 + 802132 z^4 - 16195 z^5 - 820 z^6) 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