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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=1, b>=a > For fixed z and a=1, b=35/8





http://functions.wolfram.com/07.23.03.c1wf.01









  


  








Input Form





Hypergeometric2F1[1, 35/8, 43/8, -z] == -((1/(45144 z^(35/8))) (35 (-1)^(1/8) (-15048 (-1)^(7/8) z^(3/8) + 4104 (-1)^(7/8) z^(11/8) - 2376 (-1)^(7/8) z^(19/8) + 1672 (-1)^(7/8) z^(27/8) - 5643 I Log[1 - (-1)^(1/8) z^(1/8)] + 5643 I Log[1 + (-1)^(1/8) z^(1/8)] + 5643 (-1)^(3/4) Log[1 - (-1)^(3/8) z^(1/8)] - 5643 (-1)^(3/4) Log[1 + (-1)^(3/8) z^(1/8)] + 5643 Log[1 - (-1)^(5/8) z^(1/8)] - 5643 Log[1 + (-1)^(5/8) z^(1/8)] - 5643 (-1)^(1/4) Log[1 - (-1)^(7/8) z^(1/8)] + 5643 (-1)^(1/4) 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