2009•Journal of Guizhou Normal UniversityRequires access

On the oscillation of meromorphic solutions of higher order linear differential equations

WU Peng-cheng

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Abstract

In this paper,we study the growing properties of meromorphic solutions for higher order linear differential equations with meromorphic coefficients.The precise estimation of the properties of growth of meromorphic solutions of the equations is obtained when there exist some coefficients that play a crucial role in the equations,and the zeros and poles with some coefficients are limited in a angular domain.

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What this paper is about

In this paper,we study the growing properties of meromorphic solutions for higher order linear differential equations with meromorphic coefficients.The precise estimation of the properties of growth of meromorphic solutions of the equations is obtained when there exist some coefficients that play a crucial role in the equations,and the zeros and poles with some coefficients are limited in a angular domain.

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Available abstract

In this paper,we study the growing properties of meromorphic solutions for higher order linear differential equations with meromorphic coefficients.The precise estimation of the properties of growth of meromorphic solutions of the equations is obtained when there exist some coefficients that play a crucial role in the equations,and the zeros and poles with some coefficients are limited in a angular domain.

Key concepts: Meromorphic function, Mathematics, Linear differential equation, Differential equation, Order (exchange), Oscillation (cell signaling), Mathematical analysis, Applied mathematics

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