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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=6





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









  


  










Input Form





Hypergeometric2F1[-(11/5), 6, 29/5, z] == -((1/(30517578125 z^(24/5))) (114 (-1)^(1/5) (924 (-1)^(4/5) (-1 + z)^2 (-57 - 240 z - 720 z^2 - 2080 z^3 - 8060 z^4 + 58032 z^5) Log[1 - z^(1/5)] + 924 (-1 + z)^2 (-57 - 240 z - 720 z^2 - 2080 z^3 - 8060 z^4 + 58032 z^5) Log[1 + (-1)^(1/5) z^(1/5)] + (-1)^(1/5) (-924 (-1 + z)^2 (-57 - 240 z - 720 z^2 - 2080 z^3 - 8060 z^4 + 58032 z^5) Log[1 - (-1)^(2/5) z^(1/5)] + (-1)^(1/5) (924 (-1 + z)^2 (-57 - 240 z - 720 z^2 - 2080 z^3 - 8060 z^4 + 58032 z^5) Log[1 + (-1)^(3/5) z^(1/5)] + (-1)^(1/5) (5 (-1)^(1/5) z^(4/5) (-13167 - 34958 z - 85305 z^2 - 244860 z^3 + 52354120 z^4 - 105753648 z^5 + 53621568 z^6) - 924 (-1 + z)^2 (-57 - 240 z - 720 z^2 - 2080 z^3 - 8060 z^4 + 58032 z^5) 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