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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=-35/8, b>=a > For fixed z and a=-35/8, b=6





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









  


  








Input Form





Hypergeometric2F1[-(35/8), 6, -(19/8), -z] == (1/16777216) (63 ((256 (230377 + 656533 z + 628527 z^2 + 201603 z^3))/ (1 + z)^4 - 303412515 (-(8/27) + (8 z)/19 - (8 z^2)/11 + (8 z^3)/3 + (-1)^(1/8) z^(27/8) ((-1)^(1/4) Log[1 - (-1)^(1/8) z^(1/8)] - (-1)^(1/4) Log[1 + (-1)^(1/8) z^(1/8)] - Log[1 - (-1)^(3/8) z^(1/8)] + Log[1 + (-1)^(3/8) z^(1/8)] - (-1)^(3/4) Log[1 - (-1)^(5/8) z^(1/8)] + (-1)^(3/4) Log[1 + (-1)^(5/8) z^(1/8)] + I Log[1 - (-1)^(7/8) z^(1/8)] - I Log[1 + (-1)^(7/8) z^(1/8)])) + 650169675 (-(8/35) + (8 z)/27 - (8 z^2)/19 + (8 z^3)/11 - (8 z^4)/3 + (-1)^(1/8) z^(35/8) ((-(-1)^(1/4)) Log[1 - (-1)^(1/8) z^(1/8)] + (-1)^(1/4) Log[1 + (-1)^(1/8) z^(1/8)] + Log[1 - (-1)^(3/8) z^(1/8)] - Log[1 + (-1)^(3/8) z^(1/8)] + (-1)^(3/4) Log[1 - (-1)^(5/8) z^(1/8)] - (-1)^(3/4) Log[1 + (-1)^(5/8) z^(1/8)] - I Log[1 - (-1)^(7/8) z^(1/8)] + I Log[1 + (-1)^(7/8) z^(1/8)]))))








Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02