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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=-29/5, b>=a > For fixed z and a=-29/5, b=2





http://functions.wolfram.com/07.23.03.any0.01









  


  








Input Form





Hypergeometric2F1[-(29/5), 2, -(19/5), -z] == (1/49875) (49875 - 152250 z + 391500 z^2 - 1102000 z^3 + 4821250 z^4 + 11802420 z^5 + 277704 z^(24/5) (29 + 34 z) Log[1 + z^(1/5)] + 277704 (-1)^(4/5) z^(24/5) (29 + 34 z) Log[1 - (-1)^(1/5) z^(1/5)] - 8053416 (-1)^(3/5) z^(24/5) Log[1 + (-1)^(2/5) z^(1/5)] - 9441936 (-1)^(3/5) z^(29/5) Log[1 + (-1)^(2/5) z^(1/5)] + 8053416 (-1)^(2/5) z^(24/5) Log[1 - (-1)^(3/5) z^(1/5)] + 9441936 (-1)^(2/5) z^(29/5) Log[1 - (-1)^(3/5) z^(1/5)] - 8053416 (-1)^(1/5) z^(24/5) Log[1 + (-1)^(4/5) z^(1/5)] - 9441936 (-1)^(1/5) z^(29/5) 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