Estimates of the logarithmic derivative near a singular point and\n applications

2018/11/11 by Saada Hamouda, Hamouda, Saada
Mathematics · #30D35 #34M10 #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Differential Equations and Numerical Methods #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1811.04379

openalex publication_date 2018/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we will give estimates for the logarithmic derivative \n \vert fracf^{\( k\)} \( z\) f\( z\) \n \vert where f is a meromorphic function in a region of the form \nD\( 0,R\) = \ z\∈ \ℂ :0< \vert z \vert\n<R \ . Some applications on the growth of solutions of linear\ndifferential equations near a singular point are given.\n

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