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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=-3/8, b>=a > For fixed z and a=-3/8, b=5





http://functions.wolfram.com/07.23.03.bw1h.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 5, 5/8, -z] == (1/262144) (-((8 (33067 + 73465 z + 61425 z^2 + 17955 z^3))/(1 + z)^4) - 197505 (-(8/3) + (-1)^(1/8) z^(3/8) ((-(-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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Rule Form





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





2007-05-02