User:Anghel/Sandbox

where $\epsilon: B_r \left({0}\right) \setminus 0 \to \C$ is defined by:


 * $\epsilon \left({h}\right) = \dfrac{f' \left({z}\right) g \left({z}\right) - f \left({z}\right) g' \left({z}\right) }{\left({g \left({z}\right) }\right)^2 + \epsilon_0 \left({h}\right) } - \dfrac{f' \left({z}\right) g \left({z}\right) - f \left({z}\right) g' \left({z}\right) }{\left({g \left({z}\right) }\right)^2 } + \dfrac{ g \left({z}\right) \epsilon_f \left({h}\right) - f \left({z}\right) \epsilon_g \left({h}\right) }{\left({g \left({z}\right) }\right)^2 + \epsilon_0 \left({h}\right) }$