Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators-Reference-Cited by-同舟云学术

Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Chandrashekar R.¹,Ali Rosihan M.²,Subramanian K. G.³,Swaminathan A.⁴

Affiliation:

1. Department of Technology Management, Faculty of Technology Management and Business, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia

2. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

3. School of Computer Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

4. Department of Mathematics, I.I.T. Roorkee, Roorkee 247667, India

Abstract

Sufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third-order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. Connections are also made to earlier known results.

Funder

Universiti Sains Malaysia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/723097.pdf

Reference17 articles.

1. Univalent functions with negative coefficients

2. On a Subclass of Starlike Functions

3. Convexity and starlikeness of functions defined by a class of integral operators

4. Starlikeness of integral transforms and duality

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1. Sufficient Conditions Concerning the Unified Class of Starlike and Convex Functions;Springer Proceedings in Mathematics & Statistics;2021

2. Convexity of functions defined by differential inequalities and integral operators;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2016-02-04