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1 We use this occasion to point out that the condition lim inf log M (r) < 1 r-+c g(r) in Theorem 2 of [1] can be replaced by the somewhat weaker condition : there exists a, sequence r1, + oo such that log M (r,,) < g(r1,). It is clear from the proof that only this is actually used . Thus the following assertion is true THEOREM B. Let g(r) denote an arbitrary increasing function, defined in 0 <...
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Let f(z) be any transcendental entire function. Let r, denote the absolute value of the zero z. of f '(z) which is nearest to the origin. Alander, Erdö's and Renyi, and Polya have investigated the relation between r, and the growth of the function /(z). Let s, denote the ... fz largest disk about the origin where / (z) is univalent. Boas, Levinson, and Polya have obtained some relations between...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1987
ISSN: 0002-9939
DOI: 10.2307/2046003