Infinite products of holomorphic mappings

Let X be a complex Banach space, N a norming set for X, and D subset of X a bounded, closed, and convex domain such that its norm closure (D) over bar is compact in sigma(X, N). Let circle divide not equal C subset of D lie strictly inside D. We study convergence properties of infinite products of those self-mappings of C which can be extended to holomorphic self-mappings of D. Endowing the space of sequences of such mappings with an appropriate metric, we show that the subset consisting of all the sequences with divergent infinite products is sigma-porous.