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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 8 and fixed z and a<0 > For fixed z and a=-7/8, b>=a > For fixed z and a=-7/8, b=4





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









  


  










Input Form





Hypergeometric2F1[-(7/8), 4, 9/8, -z] == (1/196608) (7 (-((128 (27 + 23 z))/(1 + z)^2) + (1/z^(1/8)) (2415 (-1)^(1/8) ((-1)^(3/4) Log[1 - (-1)^(1/8) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(1/8) z^(1/8)] + I Log[1 - (-1)^(3/8) z^(1/8)] - I Log[1 + (-1)^(3/8) z^(1/8)] + (-1)^(1/4) Log[1 - (-1)^(5/8) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(5/8) z^(1/8)] + Log[1 - (-1)^(7/8) z^(1/8)] - Log[1 + (-1)^(7/8) z^(1/8)])) + (10695/7) (8 + 7 (-1)^(7/8) z^(7/8) Log[1 - (-1)^(1/8) z^(1/8)] - 7 (-1)^(7/8) z^(7/8) Log[1 + (-1)^(1/8) z^(1/8)] + 7 (-1)^(5/8) z^(7/8) Log[1 - (-1)^(3/8) z^(1/8)] - 7 (-1)^(5/8) z^(7/8) Log[1 + (-1)^(3/8) z^(1/8)] + 7 (-1)^(3/8) z^(7/8) Log[1 - (-1)^(5/8) z^(1/8)] - 7 (-1)^(3/8) z^(7/8) Log[1 + (-1)^(5/8) z^(1/8)] + 7 (-1)^(1/8) z^(7/8) Log[1 - (-1)^(7/8) z^(1/8)] - 7 (-1)^(1/8) z^(7/8) Log[1 + (-1)^(7/8) z^(1/8)])))










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