On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients

On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients

In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its meromorphic solutions.

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Veröffentlicht in:Discrete dynamics in nature and society 2020, Vol.2020 (2020), p.1-8, Article 3829520
Hauptverfasser: Chen, Chuang-Xin, Chen, Zong-Xuan, Cui, Ning
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Mathematics
Mathematics, Interdisciplinary Applications
Meromorphic functions
Multidisciplinary Sciences
Physical Sciences
Rational functions
Science & Technology
Science & Technology - Other Topics
Theorems
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Zusammenfassung:In this paper, we study the higher order differential equation fk+Bf=H, where B is a rational function, having a pole at ∞ of order n>0, and H≡0 is a meromorphic function with finite order, and obtain some properties related to the order and zeros of its meromorphic solutions.
ISSN:1026-0226
1607-887X
DOI:10.1155/2020/3829520