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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=-23/8, b>=a > For fixed z and a=-23/8, b=29/8





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









  


  










Input Form





Hypergeometric2F1[-(23/8), 29/8, -(7/2), -z] == (1/(23296 (1 + z)^(33/8))) ((-(-23296 - 26000 z + 16029 z^2 - 24622 z^3 + 109837 z^4 + 449376 z^5 + 438528 z^6 + 135168 z^7)) Cos[ArcTan[Sqrt[z]]/4] + 4 Sqrt[z] (1456 + 1170 z - 1248 z^2 + 1963 z^3 + 21039 z^4 + 24768 z^5 + 8448 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