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In this paper, the class SH(α, β; n, λ) of univalent harmonic and sense-preserving mappings in the unit disk is introduced. The distortion inequalities and extreme points for functions in the class SH...
A graph is said to be a segment graph if its vertices can be mapped to line segments in the plane such that two vertices have an edge between them if and only if their corresponding line segments int...
In the present paper, the authors introduce and study new subclass of normalized analytic univalent function S∗w (k, β) for some operator on Hilbert space.
We introduce the class of analytic functions with negative coefficients. In this paper we give some properties of functions in the class and we obtain coefficient estimates, neighborhood and integ...
In this paper we introduce a new subclass of normalized analytic functions in the open unit disc which is defined by the Al-Oboudi differential operator. A coefficient inequality, extreme points and i...
Subclass of univalent functions with negative coefficients and starlike with respect to symmetric and conjugate points
In this present investigation, the authors obtain Fekete-Szeg¨o inequality for certain normalized analytic function f(z) defined on the open unit disc for which z(Dn λf(z))Dn λf(z) , (n ∈ N0, λ ≥ 0)...
In this paper, a subclass of spirallike function of type denoted by is introduced in the unit disc of the complex plane. We show that the Alexander transformation of class of is univalent when , wh...
The class of univalent harmonic functions on the unit disc satisfying the condition is given. Sharp coefficient relations and distortion theorems are given for these functions. In this paper we fin...
In the present paper, we discuss a subclass of -valently Bazilevic functions, which was introduced and investigated recently by Patel [5]. Such results as inclusion relationship, coefficient inequal...
Making use of Linear operator theory, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients. The main object of this pape...
In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using a certain fractional calculus and fractional calculus integral operato...

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