On certain subclasses of prestarlike functions 1
نویسندگان
چکیده
Abstract In the present investigation, we introduce and study interesting properties of a new unified class of pre-starlike functions with negative coefficients in the open unit disk ∆. These properties include growth and distortion, radii of convexity, radii of starlikeness and radii of close to convexity. 2000 Mathematics Subject Classification: 30C45.
منابع مشابه
A Unified Treatment of Certain Subclasses of Prestarlike Functions
In this paper we introduce and study some properties of a unified class U [μ, α, β, γ, λ, η, A,B] of prestarlike functions with negative coefficients in a unit disk U . These properties include growth and distortion, radii of convexity, radii of starlikeness and radii of close-to-convexity.
متن کاملCertain Subclasses of Multivalent Prestarlike Functions with Negative Coefficients
The object of the present paper is to investigate coefficient estimates for functions belonging to the subclasses Rγ [α, β ] and C p γ [α, β ] of p-valent γ -prestarlike functions of order α and type β with negative coefficients. We obtain extreme points, distortion theorems, integral operators and radii of starlikeness and convexity for functions belonging to the classes Rγ [α, β ] and C γ [α,...
متن کاملSubordination Properties for Certain Subclasses of Prestarlike Functions
Making use of generalized Sǎlǎgean derivative operator in this paper, we define a unified class of starlike functions with negative coefficients and obtain subordination results, partial sums, integral transforms for this class. Further integral means and square root transformation results are discussed. AMS (MOS) Subject Classification Codes: 30C45
متن کاملStability for certain subclasses of harmonic univalent functions
In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.
متن کاملCertain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$ and $|a_{3} |$ for functions in these new subclasses. Several consequences of the result are also pointed out.
متن کامل