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 Applications of a Multiplier Transformation and Ruscheweyh Derivative for Obtaining New Strong Differential Subordinations

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1312
Author(s):  
Alina Alb Lupaş
Keyword(s):  
Analytic Functions ◽  
Hadamard Product ◽  
Ruscheweyh Derivative ◽  
Differential Subordinations ◽  
Multiplier Transformation

Here, we study strong differential subordinations for the extended new operator IRλ,lm defined by the Hadamard product of the extended multiplier transformation Im,λ,l and the extended Ruscheweyh derivative Rm, on the class of normalized analytic functions Anζ∗={f∈H(U×U¯),f(z,ζ)=z+an+1ζzn+1+⋯,z∈U,ζ∈U¯}, by IRλ,lm:Anζ∗→Anζ∗, IRλ,lmfz,ζ=Im,λ,l∗Rmfz,ζ.

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