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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=-31/8, b>=a > For fixed z and a=-31/8, b=-11/8





http://functions.wolfram.com/07.23.03.bew2.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(11/8), 9/2, -z] == (256 (Sqrt[z] (80 + 1133 z + 9231 z^2 + 1219194 z^3 - 1645642 z^4 + 218985 z^5 + 11947 z^6 + 624 z^7) Cos[ArcTan[Sqrt[z]]/4] - 2 (160 + 2316 z + 19157 z^2 + 196890 z^3 - 923418 z^4 + 430244 z^5 + 1469 z^6 + 78 z^7) Sin[ArcTan[Sqrt[z]]/4]))/ (287627301 z^(7/2) (1 + z)^(1/8))








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