Results of Third-Order Strong Differential Subordinations

In this paper, we present and investigate the notion of third-order strong differential subordinations, unveiling several intriguing properties within the context of specific classes of admissible functions. Furthermore, we extend certain definitions, presenting novel and fascinating results. We als...

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Bibliographic Details
Published in:Axioms 2024-01, Vol.13 (1), p.42
Main Authors: Soren, Madan Mohan, Wanas, Abbas Kareem, Cotîrlǎ, Luminiţa-Ioana
Format: Article
Language:English
Subjects:
admissible function
analytic function
Analytic functions
dominants
Functional equations
Functions
Inequality
Investigations
Mathematical analysis
Mathematical functions
Mathematical research
multivalent function
Operator theory
Operators (mathematics)
strong differential subordination
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Summary:In this paper, we present and investigate the notion of third-order strong differential subordinations, unveiling several intriguing properties within the context of specific classes of admissible functions. Furthermore, we extend certain definitions, presenting novel and fascinating results. We also derive several interesting properties of the results of third-order strong differential subordinations for analytic functions associated with the Srivastava–Attiya operator.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13010042