Some improvements of criteria of L-index boundedness in direction
Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 1
Abstract
In this paper, we improve criteria of boundedness of L-index in direction for entire functions in Cn. They give an estimate of maximum modulus on circles of various radius, maximum modulus by minimum modulus on circle and describe the behavior of directional logarithmic derivative and the distribution of zeros. The obtained results are also new for entire functions of bounded index in C.
Authors and Affiliations
Andriy Bandura
Keywords
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- EP ID EP310034
- DOI 10.15330/ms.47.1.27-32
- Views 45
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