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Studia Universitatis Babes-Bolyai Matematica
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Studia Universitatis Babes-Bolyai Matematica
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Studia Universitatis Babes-Bolyai Matematica
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https://dx.doi.org/10.48550/ar...
Article . 2019
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Notes on the norm of pre-Schwarzian derivatives of certain analytic functions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 17 Sep 2020Embargo end date: 01 Jan 2019Publisher:Babes-Bolyai University Cluj-NapocaJournal:Studia Universitatis Babes-Bolyai Matematica, volume 65, pages 357-363 (issn: 0252-1938, eissn: 2065-961X, Copyright policy )
Authors: Kargar Rahim;

doi: 10.24193/subbmath.2020.3.04 , 10.48550/arxiv.1901.07619

arXiv: 1901.07619

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

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 Babeş--Bolyai Math {\bf61}(2): 155--162, 2016]. We pointed out that the proofs by Rahmatan et al. are incorrect and present correct proofs.

5 pages

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Keywords

Mathematics - Complex Variables, ta111, FOS: Mathematics, Complex Variables (math.CV), 30C45

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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