Radius Results for Certain Strongly Starlike Functions

Author:

Saliu Afis12ORCID,Jabeen Kanwal3,Xin Qin4ORCID,Tchier Fairouz5ORCID,Malik Sarfraz Nawaz6ORCID

Affiliation:

1. Department of Mathematics, University of the Gambia, MDI Road, Kanifing, Serrekunda P.O. Box 3530, The Gambia

2. Department of Mathematics, Gombe State University, Tudun Wada, Gombe 760253, Nigeria

3. Bright Future International School, Doha P.O. Box 8884, Qatar

4. Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark

5. Mathematics Department, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia

6. Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

Abstract

This article comprises the study of strongly starlike functions which are defined by using the concept of subordination. The function φ defined by φ(ζ)=(1+ζ)λ, 0<λ<1 maps the open unit disk in the complex plane to a domain symmetric with respect to the real axis in the right-half plane. Using this mapping, we obtain some radius results for a family of starlike functions. It is worth noting that all the presented results are sharp.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference46 articles.

1. Quelques problèmes extrèmaux dans les classes des fonctions α-angulairement ètoilèes;Stankiewicz;Ann. Univ. Mariae Curie-Skłodowska Sect. A,1966

2. On a family of starlike functions;Stankiewicz;Ann. Univ. Mariae Curie-Skłodowska Sect. A,1968

3. On some classes of bounded univalent functions;Brannan;J. Lond. Math. Soc.,1969

4. An internal geometric characterization of strongly starlike functions;Ma;Ann. Univ.Mariae Curie Skłodowska Sect. A,1991

5. Lecko, A. (2005). Some Methods in the Theory of Univalent Functions, Oficyna Wydawnicza Poltechniki Rzeszowskiej.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3