Murat Çağlar

Fekete-Szego Problem for a Generalized Subclass of Analytic Functions

In this present work, the authors obtain Fekete-Szego inequality for certain normalized analytic function f(z) dened on the open unit disk for which (1 )z(D m ; f(z)) 0 +z (D m+1 ; f(z)) 0 (1 )D m ; f(z)+D m+1 ; f(z) ( 0; m 2 N0; 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions dened by Hadamard product (or convolution)

Fekete-Szego problem for certain subclasses of analytic functions

Abstract In this present investigation, authors introduce certain subclasses of starlike and convex functions of complex order b, using a linear multiplier differential operator Dλ,μmf(z)

Coefficient bounds for a subclass of starlike functions of complex order

D_{\lambda ,\mu }^m f(z)

Coefficient Estimates and Other Properties for a Class ofSpirallike Functions Associated with a Differential Operator

. In this paper, for these classes the Fekete–Szegö problem is completely solved. Various new special cases of our results are also pointed out.

Convexity of the integral operator involving normalized Mittag-Leffler function

In the present work, we determine coefficient bounds for functions in certain subclass of starlike functions of complex order b, which are introduced here by means of a multiplier differential operator. Several corollaries and consequences of the main results are also considered.

Starlikeness and convexity of the generalized Dini functions

For , , , , and , a new class of analytic functions defined by means of the differential operator is introduced. Our main object is to provide sharp upper bounds for Fekete-Szego problem in . We also find sufficient conditions for a function to be in this class. Some interesting consequences of our results are pointed out.

Upper bound of second Hankel determinant for a subclass of bi-univalent functions

The main object of this paper is to give sufficient condition for a certain family of integral operator which are defined by means of the normalized form of the Mittag-Leffler function to be convex of given order in the open unit disk.

New Coefficient Inequalities for Certain Subclasses of p- Valent Analytic Functions

In this paper, we present some geometric properties for the normalized generalized Dini function like starlikeness and convexity in the open unit disc. In special cases of parameters, our results are better than the results of Roza and Din [6].

Univalence criteria for meromorphic functions and quasiconformal extensions

In this paper, we investigate a subclass Σ (γ, τ) of analytic and bi-univalent functions in the open unit disk u. For functions belonging to this subclass, we obtain an upper bound for the second Hankel determinant H2(2).

Coefficient estimates for Sakaguchi type functions

The object of the present paper is to derive new coefficient inequalities for certain subclasses of pvalent analytic functions defined in the open unit disk U. Our results are generalized of the previous theorems given by J. Clunie and F.R. Keogh (1), by H. Silverman (3) and by M. Nunokawa et al. (2).