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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.any4.01









  


  










Input Form





Hypergeometric2F1[-(29/5), 2, -(9/5), -z] == (1/28125) (28125 - 181250 z + 1631250 z^2 + 14943120 z^3 + 24954790 z^4 + 11802420 z^5 + 277704 z^(14/5) (1 + z)^2 (19 + 34 z) Log[1 + z^(1/5)] + 277704 (-1)^(4/5) z^(14/5) (1 + z)^2 (19 + 34 z) Log[1 - (-1)^(1/5) z^(1/5)] - 5276376 (-1)^(3/5) z^(14/5) Log[1 + (-1)^(2/5) z^(1/5)] - 19994688 (-1)^(3/5) z^(19/5) Log[1 + (-1)^(2/5) z^(1/5)] - 24160248 (-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)] + 5276376 (-1)^(2/5) z^(14/5) Log[1 - (-1)^(3/5) z^(1/5)] + 19994688 (-1)^(2/5) z^(19/5) Log[1 - (-1)^(3/5) z^(1/5)] + 24160248 (-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)] - 5276376 (-1)^(1/5) z^(14/5) Log[1 + (-1)^(4/5) z^(1/5)] - 19994688 (-1)^(1/5) z^(19/5) Log[1 + (-1)^(4/5) z^(1/5)] - 24160248 (-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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Date Added to functions.wolfram.com (modification date)





2007-05-02