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http://dx.doi.org/10.14317/jami.2022.507

COMPLEX DELAY-DIFFERENTIAL EQUATIONS OF MALMQUIST TYPE  

NAGASWARA, P. (Department of Mathematics, Presidency University)
RAJESHWARI, S. (Department of Mathematics, Presidency University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.3_4, 2022 , pp. 507-513 More about this Journal
Abstract
In this paper, we investigate some results on complex delay-differential equations of the classical Malmquist theorem. A classic illustrations of their results states us that if a complex delay equation w(t + 1) + w(t - 1) = R(t, w) with R(t, w) rational in both arguments admits (concede) a transcendental meromorphic solution of finite order, then degwR(t, w) ≤ 2. Development and upgrade of such results are presented in this paper. In addition, Borel exceptional zeros and poles seem to appear in special situations.
Keywords
Complex delay-differential equations; value distribution; Nevanlinna characteristic function; zeros and poles; Borel exceptional values;
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