On certain properties of some subclasses of univalent functions

Obradović, Milutin; null, null; Tuneski, Nikola

doi:10.24193/subbmath.2023.4.06

On certain properties of some subclasses of univalent functions

Journal

Studia Universitatis Babes-Bolyai Matematica

Date Issued

2023-12-30

Author(s)

Obradović, Milutin

null, null

DOI

10.24193/subbmath.2023.4.06

Abstract

"In this paper we determine the disks $|z|<r\le1$ where for different classes of univalent functions, we have the property $${\rm Re}\left\{2\frac{zf'(z)}{f(z)}-\frac{z f''(z)}{f'(z)}\right\}>0\qquad (|z|<r).$$ Keywords: Univalent, inverse functions, coefficients, sharp bound."