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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=1





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









  


  










Input Form





Hypergeometric2F1[-(28/5), 1, -(8/5), -z] == (1/3750) (3750 - 13125 z + 100625 z^2 + 528885 z^3 + 659295 z^4 + 251160 z^5 - 150696 z^(13/5) (1 + z)^3 Log[1 + z^(1/5)] + 150696 (-1)^(3/5) z^(13/5) (1 + z)^3 Log[1 - (-1)^(1/5) z^(1/5)] + 150696 (-1)^(1/5) z^(13/5) Log[1 + (-1)^(2/5) z^(1/5)] + 452088 (-1)^(1/5) z^(18/5) Log[1 + (-1)^(2/5) z^(1/5)] + 452088 (-1)^(1/5) z^(23/5) Log[1 + (-1)^(2/5) z^(1/5)] + 150696 (-1)^(1/5) z^(28/5) Log[1 + (-1)^(2/5) z^(1/5)] - 150696 (-1)^(4/5) z^(13/5) Log[1 - (-1)^(3/5) z^(1/5)] - 452088 (-1)^(4/5) z^(18/5) Log[1 - (-1)^(3/5) z^(1/5)] - 452088 (-1)^(4/5) z^(23/5) Log[1 - (-1)^(3/5) z^(1/5)] - 150696 (-1)^(4/5) z^(28/5) Log[1 - (-1)^(3/5) z^(1/5)] - 150696 (-1)^(2/5) z^(13/5) Log[1 + (-1)^(4/5) z^(1/5)] - 452088 (-1)^(2/5) z^(18/5) Log[1 + (-1)^(4/5) z^(1/5)] - 452088 (-1)^(2/5) z^(23/5) Log[1 + (-1)^(4/5) z^(1/5)] - 150696 (-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