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Janowski-type mappings associated with the conic like domains.
- Source :
- International Journal of Nonlinear Analysis & Applications; 2022, Vol. 13 Issue 2, p2469-2478, 10p
- Publication Year :
- 2022
-
Abstract
- In geometry, a conic is a plane curve whose coordinates satisfy a quadratic equation in two variables and can be expressed in matrix form. This equation allows deducing and expressing geometric properties of conic sections. In this article, we define certain subclasses U<subscript>k</subscript>S(λ, γ, τ, ρ) and U <superscript>ℑ</superscript> <subscript>k</subscript> S(λ, γ, τ, ρ) of holomorphic mappings associated with the Janowski-type mappings. These functions are actually generalizations of some basic families of starlike and convex mappings. We study sufficient conditions for f ∈ U<subscript>k</subscript>S(λ, γ, τ, ρ) along with the characterization, coefficient bounds and other problems. Using certain conditions for functions in the class U<subscript>k</subscript>S(λ, γ, ϱ, σ), we also define another class and study some subordination related result. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20086822
- Volume :
- 13
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- International Journal of Nonlinear Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 174970895
- Full Text :
- https://doi.org/10.22075/ijnaa.2022.25207.2953