Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation

2010 ◽  
Vol 16 (2) ◽  
Author(s):  
M. K. Aouf ◽  
A. Shamandy ◽  
R. M. El-Ashwah ◽  
E. E. Ali
Keyword(s):  
Multiplier Transformation

A Class of Harmonic Starlike Functions defined by Multiplier Transformation

2020 ◽  
pp. 455-469
Author(s):  
Deepali Khurana ◽  
Raj Kumar ◽  
Sibel Yalcin
Keyword(s):  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Starlike Functions ◽  
Harmonic Mappings ◽  
Distortion Bounds ◽  
Radius Of Convexity ◽  
Univalent Harmonic Mappings ◽  
Harmonic Starlike ◽  
Multiplier Transformation

We define two new subclasses, $HS(k, \lambda, b, \alpha)$ and \linebreak $\overline{HS}(k, \lambda, b, \alpha)$, of univalent harmonic mappings using multiplier transformation. We obtain a sufficient condition for harmonic univalent functions to be in $HS(k,\lambda,b,\alpha)$ and we prove that this condition is also necessary for the functions in the class $\overline{HS} (k,\lambda,b,\alpha)$. We also obtain extreme points, distortion bounds, convex combination, radius of convexity and Bernandi-Libera-Livingston integral for the functions in the class $\overline{HS}(k,\lambda,b,\alpha)$.

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).

scholarly journals Subordination Properties of Multivalent Functions Defined by Generalized Multiplier Transformation

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
M. P. Jeyaraman ◽  
T. K. Suresh
Keyword(s):  
Analytic Functions ◽  
Multiplier Transformation

The main object of the present paper is to investigate several interesting subordination properties and a sharp inclusion relationship for certain subclass of multivalent analytic functions, which are defined here by the generalized multiplier transformation. Relevant connections of the results which are presented in this paper with various known results are also considered.

scholarly journals On Certain Class of Analytic Functions Related to Cho-Kwon-Srivastava Operator

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
F. Ghanim ◽  
M. Darus
Keyword(s):  
Analytic Functions ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Similar Transformation ◽  
Multiplier Transformation

Motivated by a multiplier transformation and some subclasses of meromorphic functions which were defined by means of the Hadamard product of the Cho-Kwon-Srivastava operator, we define here a similar transformation by means of the Ghanim and Darus operator. A class related to this transformation will be introduced and the properties will be discussed.

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