New Criteria for Starlikness and Convexity of a Certain Family of Integral Operators

Author:

Srivastava Hari M.123456ORCID,Alavi Rogayeh7ORCID,Shams Saeid7ORCID,Aghalary Rasoul7ORCID,Joshi Santosh B.8ORCID

Affiliation:

1. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

3. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

4. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan

5. Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taoyuan City 32023, Taiwan

6. Section of Mathematics, International Telematic University Uninettuno, 00186 Rome, Italy

7. Department of Mathematics, Faculty of Science, Urmia University, Urmia 57561-51818, Iran

8. Department of Mathematics, Walchand College of Engineering, Sangli 416415, Maharashtra, India

Abstract

In this paper, we first modify one of the most famous theorems on the principle of differential subordination to hold true for normalized analytic functions with a fixed initial Taylor-Maclaurin coefficient. By using this modified form, we generalize and improve several results, which appeared recently in the literature on the geometric function theory of complex analysis. We also prove some simple conditions for starlikeness, convexity, and the strong starlikeness of several one-parameter families of integral operators, including (for example) a certain μ-convex integral operator and the familiar Bernardi integral operator.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference17 articles.

1. Convex and starlike criteria;Silverman;Internat. J. Math. Math. Sci.,1999

2. On the starlike criteria defined by Silverman;Tuneski;Zesz. Nauk. Politech. Rzesz. Mat.,2001

3. Some extremal problems for certain families of analytic functions;Janowski;Ann. Polon. Math.,1973

4. Sufficient conditions for starlikeness using subordination method;Avdiji;Adv. Math. Sci. J.,2020

5. Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli;Kumar;J. Inequal. Appl.,2013

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