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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=-41/8, b>=a > For fixed z and a=-41/8, b=27/8





http://functions.wolfram.com/07.23.03.b9b0.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 5/2, -z] == -((16 (Sqrt[z] (-24395 - 3784275 z - 17669493 z^2 - 19104941 z^3 + 23621600 z^4 + 65512704 z^5 + 49467392 z^6 + 12779520 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - 2 (-6970 + 177735 z + 6527460 z^2 + 36012107 z^3 + 81761976 z^4 + 91886144 z^5 + 50971648 z^6 + 11182080 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (70233215 z^(3/2) (1 + z)^(7/8)))








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