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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=-43/8, b>=a > For fixed z and a=-43/8, b=6





http://functions.wolfram.com/07.23.03.b8cg.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 6, -(35/8), z] == (1/10485760) (43 ((8 (9698035 - 36762692 z + 52817050 z^2 - 33922100 z^3 + 8202475 z^4))/(-1 + z)^5 - 418326225 (-(8/43) - (8 z)/35 - (8 z^2)/27 - (8 z^3)/19 - (8 z^4)/11 - (8 z^5)/3 + z^(43/8) (-Log[1 - z^(1/8)] + I Log[1 - I z^(1/8)] - I Log[1 + I z^(1/8)] + Log[1 + z^(1/8)] - (-1)^(3/4) Log[1 - (-1)^(1/4) z^(1/8)] + (-1)^(3/4) Log[1 + (-1)^(1/4) z^(1/8)] - (-1)^(1/4) Log[1 - (-1)^(3/4) z^(1/8)] + (-1)^(1/4) Log[1 + (-1)^(3/4) 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