Notes on the norm of pre-Schwarzian derivatives of certain analytic functions

Rahim Kargar

Abstract


In this paper, we obtain sharp bounds for the norm of pre--Schwarzian derivatives
of certain analytic functions.
Initially this problem was handled by H. Rahmatan, Sh. Najafzadeh and A. Ebadian [Stud Univ Babe\c{s}--Bolyai Math {\bf61}(2): 155--162, 2016]. We pointed out that their proofs are incorrect and present correct proofs.


Keywords


Analytic; Univalent; Locally univalent; Subordination; Pre--Schwarzian norm

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DOI: http://dx.doi.org/10.24193/0),%20No.%203,%20357%7b363%20DOI:%2010.24193/subbmath.2020.3.04

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