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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=47/8





http://functions.wolfram.com/07.23.03.bm6u.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 47/8, -(7/2), z] == (1/365056) ((1/(1 - Sqrt[z])^(27/4)) (182528 - 1232064 Sqrt[z] + 4346448 z - 11037240 z^(3/2) + 22662705 z^2 - 39734064 z^(5/2) + 60850272 z^3 - 81316224 z^(7/2) + 90351360 z^4 - 76032000 z^(9/2) + 43388928 z^5 - 14598144 z^(11/2) + 2162688 z^6) + (1/(1 + Sqrt[z])^(27/4)) (182528 + 1232064 Sqrt[z] + 4346448 z + 11037240 z^(3/2) + 22662705 z^2 + 39734064 z^(5/2) + 60850272 z^3 + 81316224 z^(7/2) + 90351360 z^4 + 76032000 z^(9/2) + 43388928 z^5 + 14598144 z^(11/2) + 2162688 z^6))








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