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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=29/8





http://functions.wolfram.com/07.23.03.bfh2.01









  


  










Input Form





Hypergeometric2F1[-(31/8), 29/8, -(7/2), -z] == (1/(116480 (1 + z)^(25/8))) ((116480 - 107120 z + 174759 z^2 - 445237 z^3 + 2910544 z^4 + 15808896 z^5 + 19126272 z^6 + 7028736 z^7) Cos[ArcTan[Sqrt[z]]/4] - Sqrt[z] (-29120 + 35880 z - 57291 z^2 + 133393 z^3 + 2773728 z^4 + 4232448 z^5 + 1757184 z^6) Sin[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