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The Properties of Meromorphic Multivalent q -Starlike Functions in the Janowski Domain.
- Source :
-
Fractal & Fractional . Jun2023, Vol. 7 Issue 6, p438. 14p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 7
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 164651467
- Full Text :
- https://doi.org/10.3390/fractalfract7060438