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- Title
New Applications of Fractional q -Calculus Operator for a New Subclass of q -Starlike Functions Related with the Cardioid Domain.
- Authors
Khan, Mohammad Faisal; AbaOud, Mohammed
- Abstract
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 D q , λ m ρ , 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.
- Subjects
FRACTIONAL calculus; GEOMETRIC function theory; STAR-like functions; INTEGRAL operators; PLASMA physics; INVERSE functions
- Publication
Fractal & Fractional, 2024, Vol 8, Issue 1, p71
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract8010071