Search
Search Results
-
Boundary Distortion and the Schwarzian Derivative of a Univalent Function in a Circular Annulus
AbstractNew distortion theorems are proved for holomorphic univalent functions bounded in a circular annulus and preserving one of its boundary...
-
The Grunsky norm of univalent functions and abelian holomorphic differentials
We establish that Grunsky norm of any normalized univalent function on a quasidisk is completely determined by the squares of holomorphic abelian...
-
Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds
The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class
... -
On Grunsky norm of univalent functions
We establish an intrinsic lower bound for the Grunsky norm of univalent functions in the disk. This bound sheds light on the intrinsic geometric...
-
Subclasses of bi-univalent functions subordinate to gegenbauer polynomials
In the present paper, we introduce three new classes of bi-univalent functions defined by means of Gegenbauer polynomials. For functions in each of...
-
Pre-Schwarzian and Schwarzian norm estimates for subclasses of univalent functions
In the present article, we are focused to study the sharp estimates of the pre-Schwarzian and Schwarzian norms for subclasses of univalent functions....
-
Univalence Criteria for Locally Univalent Analytic Functions
Suppose that p ( z ) = 1 + zϕ″ ( z ) /ϕ′ ( z ), where ϕ ( z ) is a locally univalent analytic function in the unit disk D with ϕ (0) = ϕ′ (1) − 1 = 0 . We establish...
-
Bohr–Rogosinski-Type Inequalities for Certain Classes of Functions: Analytic, Univalent, and Convex
In this article, we prove the sharp improvement of the classical Rogosinski inequality for the class of analytic self maps on the unit disk....
-
Sufficient and Necessary Conditions for the Generalized Distribution Series to be in Subclasses of Univalent Functions
We establish a relationship between the subclasses of univalent functions and generalized distribution series. The main aim of our investigation is...
-
-
New classes of univalent functions using a new differential operator
In this paper we present new classes of univalent functions, or more generally, a new univalence criteria for normalized analytic functions, using an...
-
Univalent functions and de Branges’s theorem
Bieberbach’s theorem was a fundamental advance in the study of injective holomorphic functions on...
-
-
Sharp Initial Coefficient Bounds and the Fekete–Szegő Problem for Some Subclasses of Analytic and Bi-Univalent Functions
We introduce two new subclasses U Σ ( α , λ ) and ℬ 1Σ (α) of analytic bi-univalent functions defined in an open unit disk 𝕌, which are associated with the...
-
A new characterization of (P, Q)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator
In this study, by using Lucas polynomials, subordination and q -analogue of Noor integral operator, we will introduce an interesting new class
... -
Some Subclasses of Univalent Functions Associated with the k-Ruscheweyh Derivative Operator
We investigate some subordination and other properties, as well as the inclusion relations for functions in certain subclasses of univalent functions...
-
An application of generalized distribution series on certain subclasses of univalent functions
In this study, we establish a relation between particular subclasses of complex-order univalent functions and generalized distribution series. The...