Note on composition of entire functions and bounded $L$-index in direction
نویسندگان
چکیده
منابع مشابه
Entire Functions of Bounded Index
Since this series is absolutely convergent everywhere in the plane, the terms \an\ must approach 0. Consequently, there exists for each a, an index n0 = n(a) ior which \an\ is a maximal coefficient. B. Lepson [2] raised the problem of characterizing entire functions for which n(a) is bounded. The latter are called functions of bounded index. In what follows, we shall give a partial solution to ...
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W. Gross [l ] was the first to give an example of an entire function w=<p(f) with the property that, for each complex number w, there exists an uncountable set of asymptotic paths along which <p(f) tends to w. We shall consider, in this note, the corresponding problem for functions analytic in the unit circle, U: \z\ < 1. Let <p(f) be the entire function constructed by Gross, and let L be one o...
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ژورنال
عنوان ژورنال: Matematychni Studii
سال: 2021
ISSN: 2411-0620,1027-4634
DOI: 10.30970/ms.55.1.51-56