Entire Functions of Exponential Type *
نویسنده
چکیده
Since this series is absolutely convergent everywhere in the plane, lanl must approach zero as n approaches infinity. Consequently, there exists for each a, an index n(a) for which lanl is a maximal coefficient. B. Lepson [3]1 raised the question of characterizing entire functions for whidi n (a) is bounded in a. 2 In the sequel we shall consider certain interesting variations of Lepson's problem. Though some of the results of this paper can also be obtained from the Wiman· Valiron theory, we shall use a more elementary arid direct method which seems of interest in itself.
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