Jackson Differential Operator Associated with Generalized Mittag–Leffler Function

Author:

Attiya Adel A.12ORCID,Yassen Mansour F.34ORCID,Albaid Abdelhamid5

Affiliation:

1. Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

3. Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj 11912, Saudi Arabia

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

5. Department of Physics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

Abstract

Quantum calculus plays a significant role in many different branches such as quantum physics, hypergeometric series theory, and other physical phenomena. In our paper and using quantitative calculus, we introduce a new family of normalized analytic functions in the open unit disk, which relates to both the generalized Mittag–Leffler function and the Jackson differential operator. By using a differential subordination virtue, we obtain some important properties such as coefficient bounds and the Fekete–Szegő problem. Some results that represent special cases of this family that have been studied before are also highlighted.

Funder

Deputy for Research & Innovation, Ministry of Education

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference53 articles.

1. Ruscheweyh, S. (1982). Convolutions in Geometric Function Theory, Les Presses de L’Université de Montréal.

2. Bulboacă, T. (2005). Differential Subordinations and Superordinations. New Results, House of Scientific Book Publ.

3. Duren, P.L. (1983). Univalent Functions, Grundlehren Math. Wissenschaften, Band 259, Springer.

4. Certain classes of starlike functions;Robertson;Michigan Math. J.,1954

5. Miller, S.S., and Mocanu, P.T. (2000). Differential Subordinations: Theory and Applications, CRC Press.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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