Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions
Geometric function theory (GFT) is one of the richest research disciplines in complex analysis. This discipline also deals with the extended differential inequality theory, known as the differential subordination theory. Based on these theories, this study focuses on analyzing intriguing aspects of...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-07-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
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| Online Access: | https://doi.org/10.2478/amns.2023.1.00407 |
| _version_ | 1797266143418777600 |
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| author | Ghanim F. Batiha Belal Ali Ali Hasan Darus M. |
| author_facet | Ghanim F. Batiha Belal Ali Ali Hasan Darus M. |
| author_sort | Ghanim F. |
| collection | DOAJ |
| description | Geometric function theory (GFT) is one of the richest research disciplines in complex analysis. This discipline also deals with the extended differential inequality theory, known as the differential subordination theory. Based on these theories, this study focuses on analyzing intriguing aspects of the geometric subclass of meromorphic functions in terms of a linear complex operator and a special class of Hurwitz-Lerch-Zeta functions. Hence, several of its geometric attributes are deduced. Furthermore, the paper highlights the different fascinating advantages and applications of various new geometric subclasses in relation to the subordination and inclusion theorems. |
| first_indexed | 2024-03-07T16:18:40Z |
| format | Article |
| id | doaj.art-554354e39a9e4981b115d35ad0f1e91f |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-25T00:56:00Z |
| publishDate | 2023-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-554354e39a9e4981b115d35ad0f1e91f2024-03-11T10:05:46ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-07-01822229224010.2478/amns.2023.1.00407Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta FunctionsGhanim F.0Batiha Belal1Ali Ali Hasan2Darus M.31Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates.2Faculty of Science and Information Technology, Mathematics Department, Jadara University, Jordan.3Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, 61001, Iraq.6Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan, Malaysia.Geometric function theory (GFT) is one of the richest research disciplines in complex analysis. This discipline also deals with the extended differential inequality theory, known as the differential subordination theory. Based on these theories, this study focuses on analyzing intriguing aspects of the geometric subclass of meromorphic functions in terms of a linear complex operator and a special class of Hurwitz-Lerch-Zeta functions. Hence, several of its geometric attributes are deduced. Furthermore, the paper highlights the different fascinating advantages and applications of various new geometric subclasses in relation to the subordination and inclusion theorems.https://doi.org/10.2478/amns.2023.1.00407meromorphic functionhadamard productsubordination principlegaussian hypergeometric functionhurwitz-lerchzeta function30c4530c50 |
| spellingShingle | Ghanim F. Batiha Belal Ali Ali Hasan Darus M. Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions Applied Mathematics and Nonlinear Sciences meromorphic function hadamard product subordination principle gaussian hypergeometric function hurwitz-lerchzeta function 30c45 30c50 |
| title | Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions |
| title_full | Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions |
| title_fullStr | Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions |
| title_full_unstemmed | Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions |
| title_short | Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions |
| title_sort | geometric properties of a linear complex operator on a subclass of meromorphic functions an analysis of hurwitz lerch zeta functions |
| topic | meromorphic function hadamard product subordination principle gaussian hypergeometric function hurwitz-lerchzeta function 30c45 30c50 |
| url | https://doi.org/10.2478/amns.2023.1.00407 |
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