Power series having partial sums with zeros in a half-plane

Albert Edrei · Proceedings of the American Mathematical Society · 1958

The latter result is contained in more general ones due to Carlson2 [l], Rosenbloom [6; 7], and Korevaar [3]. Received by the editors September 1, 1956 and, in revised form August 15, 1957. 1 This research was supported in part by a grant from the National Science Foundation. 2 Carlson stated his results in 1924, but published no proofs until 1948 [l]. The first published proofs are due to Weisner [o] in the special case a<ir, and to Rosenbloom [6] in the general case. 320

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