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On Landau’s Type Estimates for Coefficients of Univalent Functions

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In this article we estimate the sum of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which is sharp up to a constant and find… Click to show full abstract

In this article we estimate the sum of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which is sharp up to a constant and find upper and lower bounds for that constant. Also we estimate the sum of the first three coefficients for all functions f, such that $$\log f'(z)$$ is bounded with respect to the Bloch norm.

Keywords: landau type; coefficients univalent; estimates coefficients; univalent functions; type estimates

Journal Title: Computational Methods and Function Theory
Year Published: 2020

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