Title
Applications of Symmetric Conic Domains to a Subclass of q-Starlike Functions
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-Szego problem, distortion inequalities, closure theorem and subordination results, are investigated. Some new and known consequences of our main results as corollaries are also highlighted.
Year
DOI
Venue
2022
10.3390/sym14040803
SYMMETRY-BASEL
Keywords
DocType
Volume
quantum (or q-) calculus, symmetric quantum (or q-) calculus, symmetric q-derivative, q-starlike functions, symmetric conic domains
Journal
14
Issue
ISSN
Citations 
4
2073-8994
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Shahid Khan101.01
Nazar Khan2156.38
Aftab Hussain301.01
Serkan Araci400.68
Bilal Khan502.70
Hamed H. Al-Sulami600.68