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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=-26/5, b>=a > For fixed z and a=-26/5, b=1





http://functions.wolfram.com/07.23.03.ap3e.01









  


  










Input Form





Hypergeometric2F1[-(26/5), 1, -(16/5), -z] == (1/2200) (2200 - 3575 z + 6825 z^2 - 18200 z^3 + 200200 z^4 + 240240 z^5 - 48048 z^(21/5) (1 + z) Log[1 + z^(1/5)] + 48048 (-1)^(1/5) z^(21/5) (1 + z) Log[1 - (-1)^(1/5) z^(1/5)] - 48048 (-1)^(2/5) z^(21/5) Log[1 + (-1)^(2/5) z^(1/5)] - 48048 (-1)^(2/5) z^(26/5) Log[1 + (-1)^(2/5) z^(1/5)] + 48048 (-1)^(3/5) z^(21/5) Log[1 - (-1)^(3/5) z^(1/5)] + 48048 (-1)^(3/5) z^(26/5) Log[1 - (-1)^(3/5) z^(1/5)] - 48048 (-1)^(4/5) z^(21/5) Log[1 + (-1)^(4/5) z^(1/5)] - 48048 (-1)^(4/5) z^(26/5) 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