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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=23/8, b>=a > For fixed z and a=23/8, b=6





http://functions.wolfram.com/07.23.03.c94s.01









  


  








Input Form





Hypergeometric2F1[23/8, 6, 31/8, -z] == (1/10485760) (23 (-((8 (-56755 - 30260 z - 5610 z^2 + 1020 z^3 + 357 z^4))/ (1 + z)^5) + (1/z^(23/8)) (51 (-120 z^(7/8) + 56 z^(15/8) + 105 (-1)^(1/8) Log[1 - (-1)^(1/8) z^(1/8)] - 105 (-1)^(1/8) Log[1 + (-1)^(1/8) z^(1/8)] + 105 (-1)^(3/8) Log[1 - (-1)^(3/8) z^(1/8)] - 105 (-1)^(3/8) Log[1 + (-1)^(3/8) z^(1/8)] + 105 (-1)^(5/8) Log[1 - (-1)^(5/8) z^(1/8)] - 105 (-1)^(5/8) Log[1 + (-1)^(5/8) z^(1/8)] + 105 (-1)^(7/8) Log[1 - (-1)^(7/8) z^(1/8)] - 105 (-1)^(7/8) 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