Coefficient Estimates for a New Subclass of Analytic and Bi-Univalent Functions Defined by Hadamard Product (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.

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).

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 a Subclass of Analytic and Bi-Univalent Functions

Bulletin of The Iranian Mathematical Society, 2016

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. Upper bounds for the second and third coefficients of functions in this subclass are founded. Our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.

Some Properties of a New Class of Analytic Functions Defined In Terms of a Hadamard Product

J. Inequal. Pure Appl. Math, 2008

In this paper we introduce a new class H(φ, α, β) of analytic functions which is defined by means of a Hadamard product (or convolution) of two suitably normalized analytic functions. Several properties like, the coefficient bounds, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are investigated. We further consider a subordination theorem, certain boundedness properties associated with partial sums, an integral transform of a certain class of functions, and some integral means inequalities. Several interesting consequnces of our main results are also pointed out.