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Start Over Descriptor "30D35, 34M10" Topic mathematics::analysis of pdes
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1. Estimates of the logarithmic derivative near a singular point and applications

Author

Saada Hamouda

Subjects
Physics, Pure mathematics, Mathematics - Complex Variables, General Mathematics, High Energy Physics::Phenomenology, Mathematics::Analysis of PDEs, Singular point of a curve, Logarithmic derivative estimates, Nevanlinna theory, linear differential equations, growth of solutions, singular point, Computer Science::Numerical Analysis, Linear differential equation, FOS: Mathematics, 30D35, 34M10, Logarithmic derivative, Complex Variables (math.CV), Meromorphic function
Abstract

In this paper, we will give estimates for the logarithmic derivative $ \left\vert \frac{f^{\left( k\right) }\left( z\right) }{f\left( z\right) } \right\vert $ where $f$ is a meromorphic function in a region of the form $ D\left( 0,R\right) =\left\{ z\in \mathbb{C} :0, Comment: 15 pages

Published
2020

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