scholarly journals A New Class of Meromorphic Functions Associated with Spirallike Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Lei Shi ◽  
Zhi-Gang Wang ◽  
Jing-Ping Yi
Keyword(s):  
Integral Representation ◽  
Meromorphic Functions ◽  
New Class ◽  
Coefficient Inequalities ◽  
Spirallike Functions ◽  
Subordination Property

We introduce a new class of meromorphic functions associated with spirallike functions. Such results as subordination property, integral representation, convolution property, and coefficient inequalities are proved.

scholarly journals A new subclass of meromorphic functions with positive coefficients defining by linear operator

2020 ◽  
Vol 16 (2) ◽  
pp. 39-49
Author(s):  
P. Thirupathi Reddy ◽  
B. Venkateswarlu ◽  
S. Sreelakshmi
Keyword(s):  
Meromorphic Functions ◽  
Univalent Functions ◽  
Extreme Points ◽  
Integral Operators ◽  
New Class ◽  
Closure Theorems ◽  
Radius Of Convexity ◽  
Coefficient Inequalities ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

AbstractIn this paper, we introduce and study a new class σ, (α,λ) of meromorphic univalent functions defined in E = {z : z ∊ ℂ and 0 < |z| < 1} = E \ {0}. We obtain coefficient inequalities, distortion theorems, extreme points, closure theorems, radius of convexity estimates and integral operators. Finally, we obtained neighbourhood result for the class σp(γ,λ).

scholarly journals On certain classes of meromorphically starlike functions

1995 ◽  
Vol 18 (3) ◽  
pp. 463-467
Author(s):  
Nak Eun Cho ◽  
Ji A. Kim
Keyword(s):  
Meromorphic Functions ◽  
Starlike Functions ◽  
New Class ◽  
Multiplier Transformation

The object of the present paper is to introduce a new class∑n(α)of meromorphic functions defined by a multiplier transformation and to investigate some properties for the class∑n(α)Further we study integrals of functions in∑n(α).

A subclass of meromorphic functions defined by a certain integral operator on Hilbert space

2017 ◽  
Vol 26 (2) ◽  
pp. 115-124
Author(s):  
Arzu Akgül
Keyword(s):  
Hilbert Space ◽  
Integral Operator ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Extreme Points ◽  
Space Operator ◽  
Integral Means ◽  
New Class ◽  
Coefficient Inequality ◽  
Hilbert Space Operator

In the present paper, we introduce and investigate a new class of meromorphic functions associated with an integral operator, by using Hilbert space operator. For this class, we obtain coefficient inequality, extreme points, radius of close-to-convex, starlikeness and convexity, Hadamard product and integral means inequality.

Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator

2010 ◽  
Vol 60 (1) ◽  
Author(s):  
Waggas Atshan
Keyword(s):  
Fractional Calculus ◽  
Unit Disc ◽  
Univalent Functions ◽  
Distortion Theorem ◽  
New Class ◽  
Fractional Calculus Operators ◽  
Coefficient Inequalities ◽  
Analytic And Univalent Functions

AbstractIn this paper, we introduce a new class W(a, b, c, γ, β) which consists of analytic and univalent functions with negative coefficients in the unit disc defined by Hohlov operator, we obtain distortion theorem using fractional calculus techniques for this class. Also coefficient inequalities and some results for this class are obtained.

scholarly journals Certain classes of meromorphic $ p $-valent functions with positive coefficients

2006 ◽  
Vol 37 (3) ◽  
pp. 251-260
Author(s):  
Moa'ath Nasser ◽  
Maslina Darus
Keyword(s):  
Linear Combinations ◽  
New Class ◽  
Coefficient Inequalities ◽  
Alpha Beta ◽  
Positive Coefficients

We introduce the new class $ L(\alpha,\beta,\lambda,p) $ of meromorphic p-valent functions. The aim of the paper is to obtain coefficient inequalities, growth and distortion, radii of convexity and starlikeness and the convex linear combinations for the class $ L(\alpha,\beta,\lambda,p) $.

scholarly journals Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Halit Orhan ◽  
Dorina Răducanu ◽  
Murat Çağlar ◽  
Mustafa Bayram
Keyword(s):  
Differential Operator ◽  
Analytic Functions ◽  
Sufficient Conditions ◽  
Upper Bounds ◽  
Coefficient Estimates ◽  
New Class ◽  
Spirallike Functions

For , , , , and , a new class of analytic functions defined by means of the differential operator is introduced. Our main object is to provide sharp upper bounds for Fekete-Szegö problem in . We also find sufficient conditions for a function to be in this class. Some interesting consequences of our results are pointed out.

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