We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The Properties of Meromorphic Multivalent q -Starlike Functions in the Janowski Domain.
- Authors
Al-Shbeil, Isra; Gong, Jianhua; Ray, Samrat; Khan, Shahid; Khan, Nazar; Alaqad, Hala
- Abstract
Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory. In this study, we conduct a comprehensive investigation to identify the uses of the Sălăgean q-differential operator for meromorphic multivalent functions. Many features of functions that belong to geometrically defined classes have been extensively studied using differential operators based on q-calculus operator theory. In this research, we extended the idea of the q-analogous of the Sălăgean differential operator for meromorphic multivalent functions using the fundamental ideas of q-calculus. With the help of this operator, we extend the family of Janowski functions by adding two new subclasses of meromorphic q-starlike and meromorphic multivalent q-starlike functions. We discover significant findings for these new classes, including the radius of starlikeness, partial sums, distortion theorems, and coefficient estimates.
- Subjects
GEOMETRIC function theory; STAR-like functions; DIFFERENTIAL operators; OPERATOR theory; ANALYTIC functions; INTEGRAL operators; MEROMORPHIC functions
- Publication
Fractal & Fractional, 2023, Vol 7, Issue 6, p438
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract7060438