On Landau's type estimates for coefficients of univalent functions

2 Jul 2021, 17:30


Diana Khammatova (Kazan Federal University)


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

Primary author

Diana Khammatova (Kazan Federal University)


Dr Igliz Kayumov (Kazan (Volga Region) Federal University) Dr K.-J. Wirths (Technical University of Braunschweig, Braunschweig, Germany)

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