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Proceedings of the American Mathematical Society

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On the order and lower order of entire functions with radially distributed zeros


Author: Norbert Steinmetz
Journal: Proc. Amer. Math. Soc. 87 (1983), 449-452
MSC: Primary 30D15; Secondary 30D35
DOI: https://doi.org/10.1090/S0002-9939-1983-0684637-0
MathSciNet review: 684637
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Abstract: It is shown that the order and lower order of an entire function with zeros restricted to $ k$ distinct rays differ at most by $ k$, if either $ k \leqslant 2$ or if the zeros or the rays are regularly distributed.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0684637-0
Keywords: Order, lower order of an entire function, distribution of zeros
Article copyright: © Copyright 1983 American Mathematical Society

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