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

Complex Variables 2019-01-24 v1

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 the proofs by Rahmatan et al. are incorrect and present correct proofs.

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Cite

@article{arxiv.1901.07619,
  title  = {Notes on the norm of pre-Schwarzian derivatives of certain analytic functions},
  author = {Rahim Kargar},
  journal= {arXiv preprint arXiv:1901.07619},
  year   = {2019}
}

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5 pages