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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=29/8, b>=a > For fixed z and a=29/8, b=4





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









  


  








Input Form





Hypergeometric2F1[29/8, 4, 37/8, -z] == (1/24576) (29 ((8 (153 + 90 z + 65 z^2))/(1 + z)^3 + (1/z^(29/8)) (-2184 z^(5/8) + 840 z^(13/8) - 520 z^(21/8) + 1365 (-1)^(3/8) Log[1 - (-1)^(1/8) z^(1/8)] - 1365 (-1)^(3/8) Log[1 + (-1)^(1/8) z^(1/8)] - 1365 (-1)^(1/8) Log[1 - (-1)^(3/8) z^(1/8)] + 1365 (-1)^(1/8) Log[1 + (-1)^(3/8) z^(1/8)] - 1365 (-1)^(7/8) Log[1 - (-1)^(5/8) z^(1/8)] + 1365 (-1)^(7/8) Log[1 + (-1)^(5/8) z^(1/8)] + 1365 (-1)^(5/8) Log[1 - (-1)^(7/8) z^(1/8)] - 1365 (-1)^(5/8) 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