Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function
Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit disk that are related to a class of complex pa...
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MDPI AG
2025-07-01
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| author | Ekram E. Ali Rabha M. El-Ashwah Abeer M. Albalahi Rabab Sidaoui |
| author_facet | Ekram E. Ali Rabha M. El-Ashwah Abeer M. Albalahi Rabab Sidaoui |
| author_sort | Ekram E. Ali |
| collection | DOAJ |
| description | Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit disk that are related to a class of complex parameter operators. Complex analysis ideas from geometric function theory are used to derive fuzzy differential subordination conclusions. Due to the compositional structure of the operator, some pertinent classes of admissible functions are studied through the application of fuzzy differential subordination. |
| format | Article |
| id | doaj-art-1a6df3e7b45c490288daa8a2dab0a470 |
| institution | DOAJ |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-1a6df3e7b45c490288daa8a2dab0a4702025-08-20T02:45:43ZengMDPI AGAxioms2075-16802025-07-0114752310.3390/axioms14070523Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta FunctionEkram E. Ali0Rabha M. El-Ashwah1Abeer M. Albalahi2Rabab Sidaoui3Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, EgyptDepartment of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Ha’il, Ha’il 81451, Saudi ArabiaFuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit disk that are related to a class of complex parameter operators. Complex analysis ideas from geometric function theory are used to derive fuzzy differential subordination conclusions. Due to the compositional structure of the operator, some pertinent classes of admissible functions are studied through the application of fuzzy differential subordination.https://www.mdpi.com/2075-1680/14/7/523fuzzy setfuzzy differential subordinationmeromorphic functionsadmissible functionsfuzzy best dominant |
| spellingShingle | Ekram E. Ali Rabha M. El-Ashwah Abeer M. Albalahi Rabab Sidaoui Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function Axioms fuzzy set fuzzy differential subordination meromorphic functions admissible functions fuzzy best dominant |
| title | Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function |
| title_full | Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function |
| title_fullStr | Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function |
| title_full_unstemmed | Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function |
| title_short | Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function |
| title_sort | fuzzy treatment for meromorphic classes of admissible functions connected to hurwitz lerch zeta function |
| topic | fuzzy set fuzzy differential subordination meromorphic functions admissible functions fuzzy best dominant |
| url | https://www.mdpi.com/2075-1680/14/7/523 |
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