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Transactions of the American Mathematical Society

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On the zeros of power series with Hadamard gaps-distribution in sectors


Author: I Lok Chang
Journal: Trans. Amer. Math. Soc. 178 (1973), 393-400
MSC: Primary 30A08
DOI: https://doi.org/10.1090/S0002-9947-1973-0315097-5
MathSciNet review: 0315097
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Abstract: We give a sufficient condition for a power series with Hadamard gaps to assume every complex value infinitely often in every sector of the unit disk.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1973-0315097-5
Keywords: Power series, coefficients, Hadamard gaps, zeros in sectors, analogue of Poisson-Jensen formula
Article copyright: © Copyright 1973 American Mathematical Society