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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=-33/8, b>=a > For fixed z and a=-33/8, b=-13/8





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









  


  








Input Form





Hypergeometric2F1[-(33/8), -(13/8), 11/2, -z] == -((1024 (Sqrt[z] (-2240 - 33880 z - 265293 z^2 - 1612858 z^3 - 36515479 z^4 + 96942300 z^5 - 45694187 z^6 + 2523878 z^7 + 105903 z^8 + 4592 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + (1280 + 18480 z + 138341 z^2 + 818230 z^3 + 7460271 z^4 - 76092016 z^5 + 81755219 z^6 - 15767730 z^7 - 190855 z^8 - 8036 z^9) Sin[(7 ArcTan[Sqrt[z]])/4]))/(22898928409 z^(9/2) (1 + z)^(7/8)))








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