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- Title
Applications of Symmetric Conic Domains to a Subclass of q -Starlike Functions.
- Authors
Khan, Shahid; Khan, Nazar; Hussain, Aftab; Araci, Serkan; Khan, Bilal; Al-Sulami, Hamed H.
- Abstract
In this paper, the theory of symmetric q-calculus and conic regions are used to define a new subclass of q-starlike functions involving a certain conic domain. By means of this newly defined domain, a new subclass of normalized analytic functions in the open unit disk E is given. Certain properties of this subclass, such as its structural formula, necessary and sufficient conditions, coefficient estimates, Fekete–Szegö problem, distortion inequalities, closure theorem and subordination results, are investigated. Some new and known consequences of our main results as corollaries are also highlighted.
- Subjects
SYMMETRIC domains; ANALYTIC functions; STAR-like functions; CONIC sections
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 4, pN.PAG
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14040803