Some subclasses of close-to-convex and quasi-convex functions with respect to -symmetric points.
Some subclasses of close-to-convex functions
For α ∈ [0,1] and β ∈ (-π/2,π/2) we introduce the classes defined as follows: a function f regular in U = z: |z| < 1 of the form , z ∈ U, belongs to the class if for z ∈ U. Estimates of the coefficients, distortion theorems and other properties of functions in are examined.
Some subclasses of meromorphic and multivalent functions
The authors introduce two new subclasses and of meromorphically multivalent functions. Distortion bounds and convolution properties for , and their subclasses with positive coefficients are obtained. Some inclusion relations for these function classes are also given.
Some subclasses of meromorphic functions associated with a family of integral operators.
Some subclasses of -uniformly close to convex functions with negative coefficients.
Some subclasses of -uniformly convex functions.
Some subordination results associated with certain subclasses of analytic functions.
Some subordination results of multivalent functions defined by integral operator.
Some sufficient conditions for analytic functions to belong to space.
Some sufficient conditions for strongly starlikeness.
Some sufficient conditions for univalence.
Some sufficient conditions for univalence and starlikeness
Some theorems on subordination by univalent functions
Some univalent compositions of polynomials with univalent functions
Abstract. Let S denote the family of functions f, holomorphic and univalent in the open unit disk U, and normalized by f(0) = 0, f'(0) = 1.
Special arithmetic and geometric means preserve ...-like univalence
Special classes of univalent functions with missing coefficients and integral transforms.
Spiral functions with finite sets of asypmtotic values.
Spiral like integral operators.
Spirallike mappings and univalent subordination chains in
In this paper we consider non-normalized univalent subordination chains and the connection with the Loewner differential equation on the unit ball in . To this end, we study the most general form of the initial value problem for the transition mapping, and prove the existence and uniqueness of solutions. Also we introduce the notion of generalized spirallikeness with respect to a measurable matrix-valued mapping, and investigate this notion from the point of view of non-normalized univalent subordination...
Starlike and convex functions of complex order involving generalized multiplier transformations
We investigate the starlike, convex and close-to-convex functions of complex order involving generalized multiplier transformations by means of the Hadamard product.