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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=31/8, b>=a > For fixed z and a=31/8, b=5





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









  


  








Input Form





Hypergeometric2F1[31/8, 5, 39/8, -z] == (1/786432) (31 ((8 (3249 + 331 z + 259 z^2 + 105 z^3))/(1 + z)^4 + (1/z^(31/8)) (-2760 z^(7/8) + 1288 z^(15/8) - 840 z^(23/8) + 2415 (-1)^(1/8) Log[1 - (-1)^(1/8) z^(1/8)] - 2415 (-1)^(1/8) Log[1 + (-1)^(1/8) z^(1/8)] + 2415 (-1)^(3/8) Log[1 - (-1)^(3/8) z^(1/8)] - 2415 (-1)^(3/8) Log[1 + (-1)^(3/8) z^(1/8)] + 2415 (-1)^(5/8) Log[1 - (-1)^(5/8) z^(1/8)] - 2415 (-1)^(5/8) Log[1 + (-1)^(5/8) z^(1/8)] + 2415 (-1)^(7/8) Log[1 - (-1)^(7/8) z^(1/8)] - 2415 (-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