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 generalized polars with arbitrary weight.
Some theorems on subordination by univalent functions
Some Theorems on Value Distributions of Meromorphic Functions.
Some topological and geometric properties of pseudozero set.
Some uniqueness results on meromorphic functions sharing three sets
We discuss the uniqueness of meromorphic functions when they share three sets with the notion of weighted sharing and improve two results of Lahiri-Banerjee and Yi-Lin. We also improve a recent result of the present author and thus provide an answer to a question of Gross, in a new direction.
Some uniqueness results on meromorphic functions sharing two or three sets
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.
Some unsolved problems on meromorphic functions of uniformly bounded characteristic.