scholarly journals On Subclass of Meromorphic Univalent Functions Defined by Multiplier Transformation

2021 ◽  
Vol 32 (3) ◽  
pp. 15
Author(s):  
Mustafa Fawzy Kazem ◽  
Ahmed Khalaf Radhi
Keyword(s):  
Linear Combination ◽  
Univalent Functions ◽  
Coefficient Estimates ◽  
New Class ◽  
Convex Linear Combination ◽  
Multiplier Transformation ◽  
Meromorphic Univalent Functions

In this paper, we will investigate and discuss a new class of meromorphic univalent functions defined by multiplier transformation which is R(c, , y, ), as well as study the coefficient estimates and growth theorems, and then another line in this work, upon to get the close under the convex linear combination 

scholarly journals On Certain Subclasses of Meromorphic Functions with Positive and Fixed Second Coefficients Involving the Liu-Srivastava Linear Operator

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
N. Magesh ◽  
N. B. Gatti ◽  
S. Mayilvaganan
Keyword(s):  
Linear Operator ◽  
Linear Combination ◽  
Hypergeometric Function ◽  
Meromorphic Functions ◽  
Univalent Functions ◽  
Extreme Points ◽  
Generalized Hypergeometric Function ◽  
Coefficient Estimates ◽  
Convex Linear Combination ◽  
Meromorphic Univalent Functions

We introduce and study a subclass ΣP(γ,k,λ,c) of meromorphic univalent functions defined by certain linear operator involving the generalized hypergeometric function. We obtain coefficient estimates, extreme points, growth and distortion inequalities, radii of meromorphic starlikeness, and convexity for the class ΣP(γ,k,λ,c) by fixing the second coefficient. Further, it is shown that the class ΣP(γ,k,λ) is closed under convex linear combination.

scholarly journals A new subclass of meromorphic function with positive and fixed second coefficients

2013 ◽  
Vol 44 (3) ◽  
pp. 261-270
Author(s):  
Sivasubramanian Srikandan ◽  
N. Magesh ◽  
Maslina Darus
Keyword(s):  
Meromorphic Function ◽  
Linear Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Distortion Bounds ◽  
Convex Linear Combination ◽  
Meromorphic Univalent Functions

In this paper we introduce and study a subclass $\mathcal{M}_{P}(\alpha, \lambda, c)$ of meromorphic univalent functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity for the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ by fixing the second coefficient. Further, it is shown that the class $\mathcal{M}_{P}(\alpha, \lambda, c)$ is closed under convex linear combination.

scholarly journals Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination

Filomat ◽  
2018 ◽  
Vol 32 (4) ◽  
pp. 1313-1322 ◽  
Author(s):  
H.M. Srivastava ◽  
Müge Sakar ◽  
Güney Özlem
Keyword(s):  
Linear Combination ◽  
Unit Disk ◽  
Univalent Function ◽  
Univalent Functions ◽  
Function Class ◽  
Open Unit ◽  
Faber Polynomials ◽  
Open Unit Disk ◽  
Coefficient Estimates ◽  
New Class

In the present paper, we introduce and investigate a new class of analytic and bi-univalent functions f (z) in the open unit disk U. For this purpose, we make use of a linear combination of the following three functions: f(z)/z, f'(z) and z f''(z) for a function belonging to the normalized univalent function class S. By applying the technique involving the Faber polynomials, we determine estimates for the general Taylor-Maclaurin coefficient of functions belonging to the analytic and bi-univalent function class which we have introduced here. We also demonstrate the not-too-obvious behaviour of the first two Taylor-Maclaurin coefficients of such functions.

scholarly journals NEW SUBCLASS OF MEROMORPHIC FUNCTIONS BY THE GENERALIZATION OF THE q-DERIVATIVE OPERATOR

2021 ◽  
pp. 1461
Author(s):  
Mohammad Hassn Golmohammadi ◽  
Shahram Najafzadeh ◽  
Mohammad Reza Forutan
Keyword(s):  
Linear Combination ◽  
Meromorphic Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Derivative Operator ◽  
Partial Sum ◽  
New Class ◽  
Convex Linear Combination

In this paper, we introduce a new  class of meromorphic functions, using the exponent $ q $-derivative operator, and then look at it coefficient estimates, extreme points, convex linear combination, Radii of starlikeness, convexity and finally partial sum property are investigated.

scholarly journals Integral Transforms of New Subclass of Meromorphic Univalent Functions Defined by Linear Operator I

2019 ◽  
Vol 32 (2) ◽  
pp. 93
Author(s):  
Aqeel Ketab AL-khafaji
Keyword(s):  
Linear Operator ◽  
Convex Set ◽  
Univalent Functions ◽  
Integral Transforms ◽  
Positive Coefficient ◽  
Coefficient Estimates ◽  
Weighted Mean ◽  
New Class ◽  
Class A ◽  
Meromorphic Univalent Functions

    New class A^* (a,c,k,β,α,γ,μ)  is introduced of meromorphic univalent functions with positive coefficient f(z)=□(1/z)+∑_(n=1)^∞▒〖a_n z^n 〗,(a_n≥0,z∈U^*,∀ n∈ N={1,2,3,…}) defined by the integral operator in the punctured unit disc U^*={z∈C∶0<|z|<1}, satisfying |(z^2 (I^k (L^* (a,c)f(z)))^''+2z(I^k (L^* (a,c)f(z)))^')/(βz(I^k (L^* (a,c)f(z)))^''-α(1+γ)z(I^k (L^* (a,c)f(z)))^' )|<μ,(0<μ≤1,0≤α,γ<1,0<β≤1/2 ,k=1,2,3,… ) . Several properties were studied like coefficient estimates, convex set and weighted mean.

scholarly journals Some Geometric Properties for a Certain Class of Meromorphic Univalent Functions by Differential Operator

2021 ◽  
pp. 2667-2675
Author(s):  
Mohammed Hadi Lafta
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Convex Combination ◽  
Univalent Functions ◽  
Integral Operators ◽  
Coefficient Estimates ◽  
Growth Theorem ◽  
Closure Theorem ◽  
Major Target ◽  
Meromorphic Univalent Functions

The major target of this paper is to study a confirmed class of meromorphic univalent functions . We procure several results, such as those related to coefficient estimates, distortion and growth theorem, radii of starlikeness, and convexity for this class, n additionto hadamard product, convex combination, closure theorem, integral operators, and  neighborhoods.

Coefficient estimates for a class of bi-univalent functions associated with quasi-subordination

2017 ◽  
Vol 26 (2) ◽  
pp. 193-199
Author(s):  
H. ORHAN ◽  
N. MAGESH ◽  
J. YAMINI
Keyword(s):  
Univalent Functions ◽  
Coefficient Estimates ◽  
New Class

In the present work, we define a new class associated with quasi-subordination and investigate the estimates on the first two coefficients |a2| and |a3|. Some interesting applications of the results presented here are also discussed.

scholarly journals Application of Quasi-Subordination for Generalized Sakaguchi Type Functions

2017 ◽  
Vol 2017 ◽  
pp. 1-5
Author(s):  
Şahsene Altınkaya
Keyword(s):  
Univalent Functions ◽  
Coefficient Estimates ◽  
New Class ◽  
Ruscheweyh Derivative

The author constructs a new class SqλG,s,t of univalent functions applying the Ruscheweyh derivative. Moreover, the coefficient estimates including a Fekete-Szegö inequality of this class were determined.

scholarly journals On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator

Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 312
Author(s):  
Aqeel Ketab AL-khafaji ◽  
Waggas Galib Atshan ◽  
Salwa Salman Abed
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Geometric Properties ◽  
New Class

In this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained.

scholarly journals PROPERTIES OF A NEW SUBCLASS OF ANALYTIC FUNCTIONS ASSOCIATED TO RAFID - OPERATOR AND q-DERIVATIVE

2021 ◽  
pp. 179
Author(s):  
Mohammad Hassan Golmohammadi ◽  
Shahram Najafzadeh
Keyword(s):  
Linear Combination ◽  
Analytic Functions ◽  
Extreme Points ◽  
Coefficient Estimates ◽  
Convex Linear Combination

In this article, we introduce a new subclass of analytic functions, using the exponent operators of Rafid and $ q $-derivative. The coefficient estimates, extreme points, convex linear combination, radii of starlikeness, convexity, and finally integral are investigated.

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