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Transactions of the American Mathematical Society

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An extension of Carlson's theorem for entire functions of exponential type


Authors: R. Gervais and Q. I. Rahman
Journal: Trans. Amer. Math. Soc. 235 (1978), 387-394
MSC: Primary 30A64
DOI: https://doi.org/10.1090/S0002-9947-1978-0460633-6
MathSciNet review: 0460633
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Abstract: The paper contains some new extensions of the well-known theorem of F. Carlson for entire functions of exponential type.


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DOI: https://doi.org/10.1090/S0002-9947-1978-0460633-6
Keywords: Entire functions of exponential type, Carlson's theorem, indicator function and indicator diagram, Bernstein's theorem
Article copyright: © Copyright 1978 American Mathematical Society