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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm2c.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, 11/2, -z] == (1024 (4 Sqrt[z] (21840 - 17810 z + 29367 z^2 - 77961 z^3 + 1421068 z^4 + 5010336 z^5 + 5220864 z^6 + 1757184 z^7) Cos[(3 ArcTan[Sqrt[z]])/4] - (116480 - 78000 z + 138879 z^2 - 387946 z^3 + 2777151 z^4 + 13035168 z^5 + 14893824 z^6 + 5271552 z^7) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (3635269715 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