scholarly journals A new family of analytic functions associated with multiplier transformation

2021 ◽  
pp. e00754
Author(s):  
M.O. Oluwayemi ◽  
Imran Faisal
Keyword(s):  
Analytic Functions ◽  
New Family ◽  
Multiplier Transformation

ON A SUBCLASS OF ANALYTIC FUNCTIONS WITH FIXED FINITELY MANY COEFFICIENTS BASED ON SALAGEAN OPERATOR AND MODIFIED SIGMOID FUNCTION

2021 ◽  
Vol 10 (6) ◽  
pp. 2807-2820
Author(s):  
M.O. Oluwayemi ◽  
Olubunmi A. Fadipe Joseph ◽  
Sh. Najafzadeh
Keyword(s):  
Analytic Functions ◽  
Sigmoid Function ◽  
Geometric Properties ◽  
New Family ◽  
Sălăgean Operator ◽  
Salagean Operator

A new family of analytic functions involving sigmoid function defined as $ T_\gamma(\lambda, \beta, \alpha, \mu, c_m)\subset T_\gamma(\lambda, \beta, \alpha, \mu)$ are established. Certain geometric properties of the class are obtained.

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.

scholarly journals A family of multivalent analytic functions associated with Srivastava-Tomovski generalization of the Mittag-Leffler function

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4619-4625 ◽  
Author(s):  
Yi-Ling Cang ◽  
Jin-Lin Liu
Keyword(s):  
Analytic Functions ◽  
Hadamard Product ◽  
Differential Subordination ◽  
Inclusion Relation ◽  
New Family

In this paper we introduce an operator associated with Srivastava-Tomovski generalization of the Mittag-Leffler function. By using this operator and the virtue of differential subordination, we define a new family of multivalent analytic functions. Some novel properties such as inclusion relation, Hadamard product and the Fekete-Szeg?o inequality of this new family are discussed.

scholarly journals New Family of Multivalent Analytic Functions Defined on Complex Hilbert Space

2020 ◽  
pp. 155-165 ◽  
Author(s):  
Abbas Kareem Wanas ◽  
S. R. Swamy
Keyword(s):  
Hilbert Space ◽  
Analytic Functions ◽  
Convex Set ◽  
Extreme Points ◽  
Complex Hilbert Space ◽  
Coefficient Estimates ◽  
Geometric Properties ◽  
New Class ◽  
New Family

In this article, we define a certain new class of multivalent analytic functions with negative coefficients on complex Hilbert space. We derive a number of important geometric properties, such as, coefficient estimates, radii of starlikeness and convexity, extreme points and convex set.

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