دورية أكاديمية

Sharp Coefficient Bounds for a New Subclass of Starlike Functions of Complex Order γ Associated with Cardioid Domain

التفاصيل البيبلوغرافية
العنوان: Sharp Coefficient Bounds for a New Subclass of Starlike Functions of Complex Order γ Associated with Cardioid Domain
المؤلفون: Suha B. Al-Shaikh, Khaled Matarneh, Ahmad A. Abubaker, Mohammad Faisal Khan
المصدر: Mathematics, Vol 11, Iss 9, p 2017 (2023)
بيانات النشر: MDPI AG, 2023.
سنة النشر: 2023
المجموعة: LCC:Mathematics
مصطلحات موضوعية: analytic functions, subordination, convex and starlike functions, Fibonacci numbers, shell-like curve, cardioid domain, Mathematics, QA1-939
الوصف: In this study, by using the concepts of subordination, we define a new family RM,N,λ,γ of starlike functions of complex order γ connected with the cardioid domain. The main contribution of this article consists of the derivations of sharp inequality, considering the functions belonging to the family RM,N,λ,γ of starlike functions in U. Particularly, sharp bounds of the first two Taylor–Maclaurin coefficients, sharp estimates of the Fekete–Szegö-type functionals, and coefficient inequalities are investigated for this newly defined family RM,N,λ,γ of starlike functions. Furthermore, for the inverse function and the logg(z)z function, we investigate the same types of problems. Several well-known corollaries are also highlighted to show the connections between prior research and the new findings.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 11092017
2227-7390
Relation: https://www.mdpi.com/2227-7390/11/9/2017; https://doaj.org/toc/2227-7390
DOI: 10.3390/math11092017
URL الوصول: https://doaj.org/article/c912cee72144495e9cb65952b6704ecb
رقم الأكسشن: edsdoj.912cee72144495e9cb65952b6704ecb
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:11092017
22277390
DOI:10.3390/math11092017