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New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain

التفاصيل البيبلوغرافية
العنوان: New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain
المؤلفون: Mohammad Faisal Khan, Mohammed AbaOud
المصدر: Fractal and Fractional, Vol 8, Iss 1, p 71 (2024)
بيانات النشر: MDPI AG, 2024.
سنة النشر: 2024
المجموعة: LCC:Thermodynamics
LCC:Mathematics
LCC:Analysis
مصطلحات موضوعية: analytic functions, q-calculus, q-starlike functions, fractional q-calculus, cardioid domain, subordination, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433
الوصف: Recently, a number of researchers from different fields have taken a keen interest in the domain of fractional q-calculus on the basis of fractional integrals and derivative operators. This has been used in various scientific research and technology fields, including optics, mathematical biology, plasma physics, electromagnetic theory, and many more. This article explores some mathematical applications of the fractional q-differential and integral operator in the field of geometric function theory. By using the linear multiplier fractional q-differintegral operator Dq,λmρ,σ and subordination, we define and develop a collection of q-starlike functions that are linked to the cardioid domain. This study also investigates sharp inequality problems like initial coefficient bounds, the Fekete–Szego problems, and the coefficient inequalities for a new class of q-starlike functions in the open unit disc U. Furthermore, we analyze novel findings with respect to the inverse function (μ−1) within the class of q-starlike functions in U. The findings in this paper are easy to understand and show a connection between present and past studies.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2504-3110
Relation: https://www.mdpi.com/2504-3110/8/1/71; https://doaj.org/toc/2504-3110
DOI: 10.3390/fractalfract8010071
URL الوصول: https://doaj.org/article/19a53002dbd54849a66409495485b43c
رقم الأكسشن: edsdoj.19a53002dbd54849a66409495485b43c
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:25043110
DOI:10.3390/fractalfract8010071