On the range of analytic functions related to Caratheodory class
On the range of values of analytic functions relating to a family of integral operators
On the region of values of the system , in the class of typically real functions. II.
On the Residuum of Concave Univalent Functions
2000 Mathematics Subject Classification: 30C25, 30C45.Let D denote the open unit disc and f:D→[`C] be meromorphic and injective in D. We further assume that f has a simple pole at the point p О (0,1) and is normalized by f(0) = 0 and f′(0) = 1. In particular, we are concerned with f that map D onto a domain whose complement with respect to [`C] is convex. Because of the shape of f(D) these functions will be called concave univalent functions with pole p and the family of these functions is denoted...
On the set of values of the system in the class of typically real functions.
On the sharp constant for starlikeness.
On the strongly starlikeness of multivalently convex functions of order .
On the subclass of Salagean-type harmonic univalent functions.
On the unified class of functions of complex order involving Dziok-Srivastava operator.
On the univalence criterion of a general integral operator.
On the univalence of some analytic functions.
On the univalence of some integral operators.
On the univalence of some integral operators.
On the univalency for certain subclass of analytic functions involving Ruscheweyh derivatives.
On the univalency of certain analytic functions.
On the univalent, bounded, non-vanishing and symmetric functions in the unit disk
The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.
On Two Saigo’s Fractional Integral Operators in the Class of Univalent Functions
2000 Mathematics Subject Classification: Primary 26A33, 30C45; Secondary 33A35Recently, many papers in the theory of univalent functions have been devoted to mapping and characterization properties of various linear integral or integro-differential operators in the class S (of normalized analytic and univalent functions in the open unit disk U), and in its subclasses (as the classes S∗ of the starlike functions and K of the convex functions in U). Among these operators, two operators introduced...
On typically real functions which are generated by a fixed typically real function
Let be the family of all typically real functions, i.e. functions that are analytic in the unit disk , normalized by and such that for . In this paper we discuss the class defined as We determine the sets and . Moreover, for a fixed , we determine the superdomain of local univalence of , the radii of local univalence, of starlikeness and of univalence of .
On typical-real functions
On uniformly close-to-convex functions and uniformly quasiconvex functions.