Certain subclasses of analytic functions and bi-univalent functions defined on the unite disc (original) (raw)

Coefficient estimates for a certain subclass of analytic and bi-univalent functions

Applied Mathematics Letters, 2012

In this paper, we introduce and investigate an interesting subclass H h,p Σ of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class H h,p Σ , we obtain estimates on the first two Taylor-Maclaurin coefficients |a 2 | and |a 3 |. The results presented in this paper would generalize and improve some recent work of Srivastava et al.

New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems

2018

Inspired by the recent works of Srivastava et al. (2010), Frasin and Aouf (2011), and Caglar et al. (2013), we introduce and investigate in the present paper two new general subclasses of the class consisting of normalized analytic and bi-univalent functions in the open unit disk U. For functions belonging to these general subclasses introduced here, we obtain estimates on the Taylor-Maclaurin coefficients |a_2| and |a_3|. Several connections to some of the earlier known results are also pointed out. The results presented in this paper would generalize and improve those in related works of several earlier authors.

COEFFICIENT ESTIMATES FOR SOME SUBCLASSES OF ANALYTIC AND Bi-UNIVALENT FUNCTIONS

2017

In the present paper, we introduce and investigate two new subclasses BΣ(α, λ, μ) andMΣ(β, λ, μ) of bi-valent functions in the unit disk U. For functions belonging to the classes BΣ(α, λ, μ) andMΣ(β, λ, μ), we obtain bounds of the first two Taylor-Maclaurin coefficients of f(z).

Certain subclasses of analytic and bi-univalent functions

Applied Mathematics Letters, 2010

In the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk U := {z : z ∈ C and |z| < 1}, whose inverse has univalently analytic continuation to U. Among other results, bounds for the Taylor-Maclaurin coefficients |a 2 | and |a 3 | are found in our investigation.

On a Certain Subclasses of Bi-Univalent Functions

2016

In this paper, we introduce and study two new subclasses of biunivalent functions in the open unit disk U = {z : |z| < 1} and obtain bounds for the Taylor-Maclaurin coefficients |a2| and |a3|. The result presented in this paper generalize the recent work of Srivastava et al. [9]. 2010 Mathematics Subject Classification: 30C45.

Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

In the …rst part of this work we present several new geometric properties of analytic functions by applying the di¤erential subordination. In addition, several results in the geometric functions theory pointed out. In the second part we …nd upper bounds for coe¢ cients of functions in class B q; (; ; h) which is de…ned by fractional q-calculus operators.

Certain Inequalities for a General Class of Analytic and Bi-univalent Functions

In this work, the subclass S h,p Σ (λ, δ, γ) of the function class S of analytic and bi-univalent functions is defined and studied in the open unit disc. Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging this class are obtained. Also, some relevant classes are recognized and connections to previous results are made.