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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=-13/8, b>=a > For fixed z and a=-13/8, b=47/8





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









  


  










Input Form





Hypergeometric2F1[-(13/8), 47/8, 11/2, -z] == (1024 (2 Sqrt[z] (480 - 1180 z + 2881 z^2 - 8872 z^3 + 153408 z^4 + 439296 z^5 + 270336 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] - (1280 - 2960 z + 7181 z^2 - 22413 z^3 + 156192 z^4 + 599808 z^5 + 405504 z^6) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (191329985 z^(9/2) (1 + z)^(3/8))










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