Abstract
In this article, we will take care about an interesting topic which is the study of the ϕ-order of growth of solutions of some given linear differential equations with analytic coefficients in C-{z0}, where z0∈C represents an essential singularity. What we’ll do in this paper is a generalization of the work of Long and Zeng by introducing the concept of the ϕ–order of growth near an essential singularity.
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