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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=3





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









  


  








Input Form





Hypergeometric2F1[-(18/5), 3, 2/5, z] == (1/15625) (15625 - 300195 z + 780390 z^2 - 502320 z^3 - 936 z^(3/5) (-52 + 351 z - 621 z^2 + 322 z^3) Log[1 - z^(1/5)] + 936 (-1)^(3/5) z^(3/5) (-52 + 351 z - 621 z^2 + 322 z^3) Log[1 + (-1)^(1/5) z^(1/5)] - 48672 (-1)^(1/5) z^(3/5) Log[1 - (-1)^(2/5) z^(1/5)] + 328536 (-1)^(1/5) z^(8/5) Log[1 - (-1)^(2/5) z^(1/5)] - 581256 (-1)^(1/5) z^(13/5) Log[1 - (-1)^(2/5) z^(1/5)] + 301392 (-1)^(1/5) z^(18/5) Log[1 - (-1)^(2/5) z^(1/5)] + 48672 (-1)^(4/5) z^(3/5) Log[1 + (-1)^(3/5) z^(1/5)] - 328536 (-1)^(4/5) z^(8/5) Log[1 + (-1)^(3/5) z^(1/5)] + 581256 (-1)^(4/5) z^(13/5) Log[1 + (-1)^(3/5) z^(1/5)] - 301392 (-1)^(4/5) z^(18/5) Log[1 + (-1)^(3/5) z^(1/5)] + 48672 (-1)^(2/5) z^(3/5) Log[1 - (-1)^(4/5) z^(1/5)] - 328536 (-1)^(2/5) z^(8/5) Log[1 - (-1)^(4/5) z^(1/5)] + 581256 (-1)^(2/5) z^(13/5) Log[1 - (-1)^(4/5) z^(1/5)] - 301392 (-1)^(2/5) z^(18/5) 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