Turkish Journal of Mathematics
Author ORCID Identifier
KHOLOOD MOHAMED ALSAGER: 0000-0001-8816-3004
FETHİYE SAKAR: 0000-0002-3884-3957
ALINA ALB LUPAS: 0000-0002-2855-7535
SHEZA MOHAMED EL-DEEB: 0000-0002-4052-391X
Abstract
This paper investigates fuzzy differential subordinations involving meromorphic functions defined in the punctured unit disk. A novel operator based on the Hadamard product (also known as convolution) is introduced to establish new results in the theory of fuzzy differential subordination. This operator provides a generalized framework that extends classical analytic methods to the fuzzy setting, offering new insights into the geometric behavior of meromorphic functions under fuzzy conditions. Several sufficient conditions for fuzzy differential subordination are derived, and their connections to existing results are discussed. The findings contribute to the growing body of literature at the intersection of classical geometric function theory and fuzzy set theory. Illustrative examples and applications are also presented to demonstrate the applicability and effectiveness of the proposed results.
DOI
10.55730/1300-0098.3613
Keywords
Fuzzy differential subordination, fuzzy best dominant, meromorphic function, convolution
First Page
625
Last Page
635
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
ALSAGER, K, SAKAR, F. M, ALB LUPAS, A, & EL-DEEB, S (2025). Application on convolution for fuzzy differential subordination of meromorphic functions. Turkish Journal of Mathematics 49 (5): 625-635. https://doi.org/10.55730/1300-0098.3613
