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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=27/8, b>=a > For fixed z and a=27/8, b=5





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









  


  








Input Form





Hypergeometric2F1[27/8, 5, 35/8, -z] == (1/262144) (9 ((8 (3757 + 895 z + 375 z^2 + 165 z^3))/(1 + z)^4 - (1/z^(27/8)) (5 (1672 z^(3/8) - 456 z^(11/8) + 264 z^(19/8) - 627 (-1)^(5/8) Log[1 - (-1)^(1/8) z^(1/8)] + 627 (-1)^(5/8) Log[1 + (-1)^(1/8) z^(1/8)] + 627 (-1)^(7/8) Log[1 - (-1)^(3/8) z^(1/8)] - 627 (-1)^(7/8) Log[1 + (-1)^(3/8) z^(1/8)] + 627 (-1)^(1/8) Log[1 - (-1)^(5/8) z^(1/8)] - 627 (-1)^(1/8) Log[1 + (-1)^(5/8) z^(1/8)] - 627 (-1)^(3/8) Log[1 - (-1)^(7/8) z^(1/8)] + 627 (-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