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2010•Mathematica ApplicataRequires access

The Lower Order,Hyper-order and Hyper-exponent of Convergence of Distinct Zeros of Meromorphic Solutions of a Class of Higher Order Differential Equations

Chen Yu

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Abstract

In this paper,we investigate the complex oscillation of a class of higher non-homogeneous and homogeneous linear differential equations with meromorphic coefficients.We obtain some precise estimates of the lower order,hyper-order and hyper-exponent of convergence of distinct zeros of their meromorphic solutions without limitation on the multiplicity of their poles and improve the results of CHEN Zongxuan,Ki-Ho Kwon.

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What this paper is about

In this paper,we investigate the complex oscillation of a class of higher non-homogeneous and homogeneous linear differential equations with meromorphic coefficients.We obtain some precise estimates of the lower order,hyper-order and hyper-exponent of convergence of distinct zeros of their meromorphic solutions without limitation on the multiplicity of their poles and improve the results of CHEN Zongxuan,Ki-Ho Kwon.

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Available abstract

In this paper,we investigate the complex oscillation of a class of higher non-homogeneous and homogeneous linear differential equations with meromorphic coefficients.We obtain some precise estimates of the lower order,hyper-order and hyper-exponent of convergence of distinct zeros of their meromorphic solutions without limitation on the multiplicity of their poles and improve the results of CHEN Zongxuan,Ki-Ho Kwon.

Key concepts: Meromorphic function, Mathematics, Exponent, Mathematical analysis, Multiplicity (mathematics), Order (exchange), Convergence (economics), Class (philosophy)

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