On certain properties of some subclasses of univalent functions

Author:

,Obradović MilutinORCID,Tuneski NikolaORCID,

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."

Publisher

Babes-Bolyai University Cluj-Napoca

Reference9 articles.

1. "[1] Duren, P.L. Univalent Functions, Springer-Verlag, New York, 1983.

2. [2] Jovanović, I., Obradović, M., A note on certain classes of univalent functions, Filomat, 9(1995), no. 1, 69-72.

3. [3] Miller, S.S., Mocanu, P.T., Reade, M.O., All α-convex functions are univalent and star-like, Proc. Amer. Math. Soc., 37(1973), 553-554.

4. [4] Obradović, M., Ponnusamy, S., New criteria and distortion theorems for univalent functions, Complex Variables, Theory and Application: An International Journal, 44(2001), 173-191.

5. [5] Obradović, M., Ponnusamy, S., On the class U, Proc. 21st Annual Conference of the Jammu Math. Soc. and a National Seminar on Analysis and its Application, (2011), 11-26.

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