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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=19/8, b>=a > For fixed z and a=19/8, b=4





http://functions.wolfram.com/07.23.03.c7cx.01









  


  










Input Form





Hypergeometric2F1[19/8, 4, 27/8, -z] == (1/24576) (19 ((1224 + 80 z - 120 z^2)/(1 + z)^3 + (1/z^(19/8)) (5 (-88 z^(3/8) + 24 z^(11/8) + 33 (-1)^(5/8) Log[1 - (-1)^(1/8) z^(1/8)] - 33 (-1)^(5/8) Log[1 + (-1)^(1/8) z^(1/8)] - 33 (-1)^(7/8) Log[1 - (-1)^(3/8) z^(1/8)] + 33 (-1)^(7/8) Log[1 + (-1)^(3/8) z^(1/8)] - 33 (-1)^(1/8) Log[1 - (-1)^(5/8) z^(1/8)] + 33 (-1)^(1/8) Log[1 + (-1)^(5/8) z^(1/8)] + 33 (-1)^(3/8) Log[1 - (-1)^(7/8) z^(1/8)] - 33 (-1)^(3/8) 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