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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=-27/8, b>=a > For fixed z and a=-27/8, b=-23/8





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









  


  








Input Form





Hypergeometric2F1[-(27/8), -(23/8), 11/2, -z] == (1024 (Sqrt[z] (320 + 5320 z + 46709 z^2 + 328042 z^3 + 12268399 z^4 - 34967452 z^5 + 21101635 z^6 - 2885302 z^7 + 43129 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (256 + 4208 z + 36577 z^2 + 255554 z^3 + 2746315 z^4 - 25977380 z^5 + 32392295 z^6 - 9563822 z^7 + 522701 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/(8985970279 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