First-Order Differential Subordinations and Their Applications-Reference-Cited by-同舟云学术

First-Order Differential Subordinations and Their Applications

Published:2023-07-28 Issue:8 Volume:12 Page:743
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Ebadian Ali¹^ORCID,Aghalary Rasoul¹,Shams S.¹,Cho Nak Eun²,Alavi R.¹

Affiliation:

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

2. Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 48513, Republic of Korea

Abstract

In this paper, we consider some relations related to the representations of starlike and convex functions, and obtain some sufficient conditions for starlike and convex functions by using the theory of differential subordination. Actually, we generalize a result by Suffridge for analytic functions with missing coefficients and then we apply that generalization for obtaining the different methods to the implications of starlike or convex functions. Our results generalize and improve the previous results in the literature.

Funder

National Research Foundation of Korea

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/743/pdf

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3. Miller, S.S., and Mocanu, P.T. (2000). Differential Subordinations: Theory and Applications, Marcel Dekker Inc.

4. Convex and starlike criteria;Silverman;Int. J. Math. Math. Sci.,1990

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