Composition of entire functions and bounded L-index in direction
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 2
Abstract
In the present paper we give an answer to the following question: Let f:C→C be an entire function of bounded l-index, Φ:Cn→C be an entire function, n≥2, l:C→R+ be a continuous function. What are a positive continuous function L:Cn→R+ and a direction b∈Cn∖{0} such that the composite function f(Φ(z)) has bounded L-index in the direction b?
Authors and Affiliations
Andriy Bandura
Keywords
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- DOI 10.15330/ms.47.2.179-184
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