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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=25/8, b>=a > For fixed z and a=25/8, b=6





http://functions.wolfram.com/07.23.03.ca0l.01









  


  








Input Form





Hypergeometric2F1[25/8, 6, 33/8, -z] == (1/2097152) (5 ((8 (52643 + 24740 z + 5530 z^2 + 980 z^3 + 315 z^4))/ (1 + z)^5 - (1/z^(25/8)) (35 (1224 z^(1/8) - 136 z^(9/8) + 72 z^(17/8) - 153 (-1)^(7/8) Log[1 - (-1)^(1/8) z^(1/8)] + 153 (-1)^(7/8) Log[1 + (-1)^(1/8) z^(1/8)] - 153 (-1)^(5/8) Log[1 - (-1)^(3/8) z^(1/8)] + 153 (-1)^(5/8) Log[1 + (-1)^(3/8) z^(1/8)] - 153 (-1)^(3/8) Log[1 - (-1)^(5/8) z^(1/8)] + 153 (-1)^(3/8) Log[1 + (-1)^(5/8) z^(1/8)] - 153 (-1)^(1/8) Log[1 - (-1)^(7/8) z^(1/8)] + 153 (-1)^(1/8) 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