Differential subordination and convexity criteria of integral operators-Reference-Cited by-同舟云学术

Differential subordination and convexity criteria of integral operators

Published:2017-12-29 Issue:1 Volume:15 Page:1509-1516
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Chandrashekar R.¹,Keong Lee See²,Subramanian K.G.³

Affiliation:

1. Department of Technology and 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 USM, Penang, Malaysia

3. Department of Mathematics, Madras Christian College, Tambaram, Chennai 600059 India

Abstract

Abstract A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0127/pdf

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