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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=-19/8, b>=a > For fixed z and a=-19/8, b=41/8





http://functions.wolfram.com/07.23.03.bn3c.01









  


  








Input Form





Hypergeometric2F1[-(19/8), 41/8, 11/2, -z] == -((1024 (4 Sqrt[z] (10640 - 12730 z + 24453 z^2 - 70015 z^3 - 1540 z^4 + 1643040 z^5 + 2634240 z^6 + 1118208 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - (34048 - 47120 z + 86925 z^2 - 240350 z^3 + 1631245 z^4 + 10711008 z^5 + 14219520 z^6 + 5591040 z^7) 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