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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=-28/5, b>=a > For fixed z and a=-28/5, b=4





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









  


  










Input Form





Hypergeometric2F1[-(28/5), 4, -(13/5), z] == (1/15625) (1932 (257125/1932 + 125/(-1 + z) + (174625 z)/897 + (97625 z^2)/156 + (79750 z^3)/13 - (333355 z^4)/8 + 44935 z^5 + 33 z^(18/5) (322 - 1064 z + 817 z^2) Log[1 - z^(1/5)] - 33 (-1)^(3/5) z^(18/5) (322 - 1064 z + 817 z^2) Log[1 + (-1)^(1/5) z^(1/5)] - 10626 (-1)^(1/5) z^(18/5) Log[1 - (-1)^(2/5) z^(1/5)] + 35112 (-1)^(1/5) z^(23/5) Log[1 - (-1)^(2/5) z^(1/5)] - 26961 (-1)^(1/5) z^(28/5) Log[1 - (-1)^(2/5) z^(1/5)] + 10626 (-1)^(4/5) z^(18/5) Log[1 + (-1)^(3/5) z^(1/5)] - 35112 (-1)^(4/5) z^(23/5) Log[1 + (-1)^(3/5) z^(1/5)] + 26961 (-1)^(4/5) z^(28/5) Log[1 + (-1)^(3/5) z^(1/5)] + 10626 (-1)^(2/5) z^(18/5) Log[1 - (-1)^(4/5) z^(1/5)] - 35112 (-1)^(2/5) z^(23/5) Log[1 - (-1)^(4/5) z^(1/5)] + 26961 (-1)^(2/5) z^(28/5) 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