Comments on "A continuity proof of Rudin's theorem for polynomial and a generalization

For original paper, see Curin and Saba, ibid., vol.47, p.1319-22 (2000 ). It is pointed out that the main results, including the proof techniques, of the recent publications of Curtin and Saba (1996, 2000) are well known and have already appeared in the open literature in Basu and Fetteweis (1987). The claimed simplification and novelty of proof techniques are not valid because the same method of using the continuity property that the zeros of polynomials have when viewed as functions of coefficients, with adequate refinements, had been used by Basu and Fetteweis to arrive at the same set of results as discussed by Curtin and Saba.