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Some new applications of the quantum-difference operator on subclasses of multivalent q-starlike and q-convex functions associated with the Cardioid domain.
- Source :
- AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 9, p21246-21269, 24p
- Publication Year :
- 2023
-
Abstract
- In this study, we consider the quantum difference operator to define new subclasses of multivalent q-starlike and q-convex functions associated with the cardioid domain. We investigate a number of interesting problems for functions that belong to these newly defined classes, such as bounds for the first two Taylor-Maclaurin coefficients, estimates for the Fekete-Szego type functional, and coefficient inequalities. The important point of this article is that all the bounds that we have investigated are sharp. Many well-known corollaries are also presented to demonstrate the relationship between prior studies and the results of this article. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 165106524
- Full Text :
- https://doi.org/10.3934/math.20231083