Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators

Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators

Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using propert...

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Bibliographic Details
Published in:Axioms Vol. 12; no. 2; p. 169
Main Authors: Cotîrlă, Luminiţa-Ioana, Juma, Abdul Rahman S.
Format: Journal Article
Language:English
Published: Basel MDPI AG 01-02-2023
Subjects:
Convolution
Functional equations
Functions
Hadamard product
Linear operators
multivalent functions
Operator theory
Operators (mathematics)
subordination
superordination
Romania
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Summary:Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using properties of subordination and superordination concepts.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12020169