Abstract
Let D, be arbitrary domains in and respectively, , both possibly unbounded and , be open pieces of the boundaries. Suppose that is smooth real-analytic and minimal in an open neighborhood of and is smooth real-algebraic and minimal in an open neighborhood of . Let be a holomorphic mapping such that the cluster set does not intersect . It is proved that if the cluster set of some point contains some point and the graph of f extends as an analytic set to a neighborhood of , then f extends as a holomorphic map to a dense subset of some neighborhood of p. If in addition, , and is compact, then f extends holomorphically across an open dense subset of partial derivative D.