Fast growing meromorphic solutions of the systems of linear differential equations

Author
A. Z. Mokhonko, A. A. Mokhonko
Lviv Polytechnic National University, Lviv, Ukraine
Abstract
Systems of linear differential equations that allow for dimension decrease are considered. Growth estimates for meromorphic vector-solutions are obtained. An essentially new feature is that there are no additional constraints for the growth order of the system coefficients.
Keywords
system; linear differential equations; meromorphic function; entire function; Nevanlinna characteristics; order of growth; scale of growth; logarithmic derivative
DOI
doi:10.15330/ms.50.2.158-172
Reference
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Pages
158-172
Volume
50
Issue
2
Year
2018
Journal
Matematychni Studii
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