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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 5 and fixed z > For fixed z and a=-11/5, b>=a > For fixed z and a=-11/5, b=2





http://functions.wolfram.com/07.23.03.au50.01









  


  










Input Form





Hypergeometric2F1[-(11/5), 2, 29/5, z] == -((1/(68359375 z^(24/5))) (38 (-1)^(1/5) (2772 (-1)^(4/5) (-1 + z)^6 (19 + 16 z) Log[1 - z^(1/5)] + 2772 (-1 + z)^6 (19 + 16 z) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-2772 (-1 + z)^6 (19 + 16 z) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (2772 (-1 + z)^6 (19 + 16 z) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (13167 - 62062 z + 104555 z^2 - 55440 z^3 + 317730 z^4 - 206052 z^5 + 44352 z^6) - 2772 (-1 + z)^6 (19 + 16 z) Log[1 - (-1)^(4/5) z^(1/5)]))))))










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