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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=41/8





http://functions.wolfram.com/07.23.03.bi9a.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, 11/2, -z] == -((1024 (Sqrt[z] (18240 - 25080 z + 56373 z^2 - 194370 z^3 - 260095 z^4 + 6553120 z^5 + 16674560 z^6 + 14430208 z^7 + 4259840 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (14592 - 22800 z + 49305 z^2 - 164730 z^3 + 1413885 z^4 + 12219152 z^5 + 24250240 z^6 + 19036160 z^7 + 5324800 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (2036631025 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