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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=-18/5, b>=a > For fixed z and a=-18/5, b=6





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









  


  










Input Form





Hypergeometric2F1[-(18/5), 6, -(13/5), -z] == (1/156250) (3 (-((5 (954188 + 3521872 z + 4974713 z^2 + 3154437 z^3 + 754908 z^4))/ (1 + z)^5) - 17362884 (-(5/18) + (5 z)/13 - (5 z^2)/8 + (5 z^3)/3 - z^(18/5) (Log[1 + z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(2/5) 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