Univalency of Certain Transform of Univalent Functions

Authors

  • Milutin Obradović Department of Mathematics, Faculty of Civil Engineering, University of Belgrade, Serbia
  • Nikola Tuneski Department of Mathematics and Informatics, Faculty of Mechanical Engineering, Ss. Cyril and Methodius University in Skopje, Republic of North Macedonia

DOI:

https://doi.org/10.7546/CRABS.2023.06.01

Keywords:

analytic, univalent, transform

Abstract

We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[
g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.

Author Biographies

Milutin Obradović, Department of Mathematics, Faculty of Civil Engineering, University of Belgrade, Serbia

Mailing Address:
Department of Mathematics,
Faculty of Civil Engineering,
University of Belgrade
Bulevar Kralja Aleksandra 73,
11000, Belgrade, Serbia

E-mail: obrad@grf.bg.ac.rs

Nikola Tuneski, Department of Mathematics and Informatics, Faculty of Mechanical Engineering, Ss. Cyril and Methodius University in Skopje, Republic of North Macedonia

Mailing Address:
Department of Mathematics and Informatics,
Faculty of Mechanical Engineering,
Ss. Cyril and Methodius University in Skopje
Karpoˇs II b.b.,
1000 Skopje, Republic of North Macedonia

E-mail: nikola.tuneski@mf.ukim.edu.mk

Downloads

Published

29-06-2023

How to Cite

[1]
M. Obradović and N. Tuneski, “Univalency of Certain Transform of Univalent Functions”, C. R. Acad. Bulg. Sci., vol. 76, no. 6, pp. 821–826, Jun. 2023.

Issue

Vol. 76 No. 6 (2023)

Section

Mathematics

License

Copyright (c) 2023 Proceedings of the Bulgarian Academy of Sciences

Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences

Copyright is subject to the protection of the Bulgarian Copyright and Associated Rights Act. The copyright holder of all articles on this site is Proceedings of the Bulgarian Academy of Sciences. If you want to reuse any part of the content, please, contact us.