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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd5y.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 33/8, 11/2, -z] == -((1024 (Sqrt[z] (-127680 - 125400 z + 116679 z^2 - 292467 z^3 - 289931 z^4 + 8223335 z^5 + 22755040 z^6 + 25028864 z^7 + 12832768 z^8 + 2555904 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - (-102144 - 81168 z + 109041 z^2 - 253365 z^3 + 1869315 z^4 + 15856681 z^5 + 34406192 z^6 + 34308736 z^7 + 16640000 z^8 + 3194880 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (2629105505 z^(9/2) (1 + z)^(5/8)))








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