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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 542=24, 2020.

Original scientific paper

https://doi.org/10.21857/m3v76teqny

Estimates of the logarithmic derivative near a singular point and applications

Saada Hamouda orcid id orcid.org/0000-0002-2750-559X ; Laboratory of pure and applied mathematics, University of Mostaganem (UMAB), Algeria

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Abstract

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

Keywords

Logarithmic derivative estimates, Nevanlinna theory, linear differential equations, growth of solutions, singular point.

Hrčak ID:

243440

URI

https://hrcak.srce.hr/243440

Publication date:

15.9.2020.

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