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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=9/8, b>=a > For fixed z and a=9/8, b=3





http://functions.wolfram.com/07.23.03.c2dp.01









  


  








Input Form





Hypergeometric2F1[9/8, 3, 17/8, -z] == (1/1024) (9 ((8 (15 + 7 z))/(1 + z)^2 - (1/z^(9/8)) (7 (8 z^(1/8) - (-1)^(7/8) Log[1 - (-1)^(1/8) z^(1/8)] + (-1)^(7/8) Log[1 + (-1)^(1/8) z^(1/8)] - (-1)^(5/8) Log[1 - (-1)^(3/8) z^(1/8)] + (-1)^(5/8) Log[1 + (-1)^(3/8) z^(1/8)] - (-1)^(3/8) Log[1 - (-1)^(5/8) z^(1/8)] + (-1)^(3/8) Log[1 + (-1)^(5/8) z^(1/8)] - (-1)^(1/8) Log[1 - (-1)^(7/8) z^(1/8)] + (-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