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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=25/8





http://functions.wolfram.com/07.23.03.b7zx.01









  


  










Input Form





Hypergeometric2F1[-(43/8), 25/8, -(11/2), -z] == (1/(2297856 (1 + z)^(21/8))) ((2297856 - 2780928 z + 2752096 z^2 - 2474435 z^3 + 1812795 z^4 - 70176 z^5 - 9622272 z^6 + 48615424 z^7 + 46858240 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (1436160 - 1468800 z + 1400902 z^2 - 1222691 z^3 + 835992 z^4 + 179520 z^5 - 35875840 z^6 - 29286400 z^7) Sin[(5 ArcTan[Sqrt[z]])/4])










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