Sufficiency Conditions for a Class of Convex Functions Connected with Tangent Functions Associated with the Combination of Babalola Operators and Binomial Series

Author:

El-Deeb Sheza M.12ORCID,Cotîrlă Luminita-Ioana3ORCID

Affiliation:

1. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

3. Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Abstract

In this paper, we create a new subclass of convex functions given with tangent functions applying the combination of Babalola operators and Binomial series. Moreover, we obtain several important geometric results, including sharp coefficient bounds, sharp Fekete–Szego inequality, Kruskal inequality, and growth and distortion estimates. Furthermore, for functions with logarithmic coefficients, we compute sharp Fekete–Szego inequality and sharp coefficient bounds.

Publisher

MDPI AG

Reference24 articles.

1. New subclasses of analytic and univalent functions involving certain convolution operator;Babalola;Mathematica,2008

2. El-Deeb, S.M., and Lupas, A.A. (2022). Coefficient estimates for the functions with respect to symmetric conjugate points connected with the combination Binomial series and Babalola operator and Lucas polynomials. Fractal Fract., 6.

3. Some applications of differential subordination;Padmanabhan;Bull. Aust. Math. Soc.,1985

4. Convolution and differential subordination;Shanmugam;Int. J. Math. Math. Sci.,1989

5. Li, Z., Ren, F., Yang, L., and Zhang, S. (1992). Proceedings of the Conference on Complex Analysis, International Press.

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