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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=33/8





http://functions.wolfram.com/07.23.03.bi4f.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 33/8, 11/2, -z] == -((1024 (2 Sqrt[z] (-9120 - 7980 z + 6441 z^2 - 13794 z^3 - 1135 z^4 + 292600 z^5 + 580160 z^6 + 418816 z^7 + 106496 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (-14592 - 10032 z + 12255 z^2 - 24225 z^3 + 147345 z^4 + 1010113 z^5 + 1647968 z^6 + 1096960 z^7 + 266240 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (185148275 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