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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=-43/8, b>=a > For fixed z and a=-43/8, b=17/8





http://functions.wolfram.com/07.23.03.b7wy.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 17/8, 7/2, -z] == -((64 (4 Sqrt[z] (-12255 - 24510 z - 4200 z^2 + 330090 z^3 + 948415 z^4 + 1250060 z^5 + 894880 z^6 + 338432 z^7 + 53248 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (-39216 - 71079 z + 343140 z^2 + 2594550 z^3 + 5945460 z^4 + 7098937 z^5 + 4792928 z^6 + 1742080 z^7 + 266240 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (27445509 z^(5/2) (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