The Green's function method is utilized to obtain a modified treatment of Fano's line-shape problem which takes into account the coupling between different states in the continuous (or quasi-continuous) non-radiative manifold due to their interaction with the same radiation field states. A new expression for the absorption line-shape is obtained in the form σa(∈)∞[(∈+qYL)2+ (YLq2+ 1)(1 -YL)]/(∈2+ 1), where ∈ is the reduced energy parameter,qis Fano's line-shape index andYLis the non-radiative quantum yield obtained when the non-radiative manifold is optically forbidden. AsYLis always smaller than unity, the absorption never strictly vanishes in contrast to the result obtained in Fano's approximation. In addition, expressions are obtained for the emission line-shape and for the (energy dependent) emission quantum yield within a Fano resonance. The quantum yield so obtained is free from the singular behaviour which characterizes the same quantity obtained in Fano's approximation.