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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Integer-valued entire functions

Author: Raphael M. Robinson
Journal: Trans. Amer. Math. Soc. 153 (1971), 451-468
MSC: Primary 30.57
MathSciNet review: 0274762
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Abstract: The theory of integer-valued entire functions is organized in an improved fashion. Detailed results are proved when the indicator diagram is a line segment. For the first time, a method is developed for treating completely integer-valued functions with an unsymmetrical growth pattern.

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Keywords: Integer-valued, completely integer-valued, unsymmetrical growth, exponential type, indicator diagram, Laplace transform, singularity hull, generating function, power series with integer coefficients, transfinite diameter, conjugate algebraic integers
Article copyright: © Copyright 1971 American Mathematical Society