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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=-37/8, b>=a > For fixed z and a=-37/8, b=-1/8





http://functions.wolfram.com/07.23.03.bbk9.01









  


  








Input Form





Hypergeometric2F1[-(37/8), -(1/8), 9/2, -z] == -((256 (Sqrt[z] (-1776 - 20831 z - 129389 z^2 - 3189342 z^3 + 1509950 z^4 + 364013 z^5 + 101151 z^6 + 19408 z^7 + 1792 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] - 2 (-1184 - 14060 z - 88245 z^2 - 584896 z^3 + 1745666 z^4 + 131352 z^5 + 36907 z^6 + 7180 z^7 + 672 z^8) Sin[(3 ArcTan[Sqrt[z]])/4]))/(596530935 z^(7/2) (1 + z)^(3/8)))








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