Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator
The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become an increasingly rich research area in mathema...
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/18/3243 |
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| author | F. Ghanim Hiba F. Al-Janaby Marwan Al-Momani Belal Batiha |
| author_facet | F. Ghanim Hiba F. Al-Janaby Marwan Al-Momani Belal Batiha |
| author_sort | F. Ghanim |
| collection | DOAJ |
| description | The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become an increasingly rich research area in mathematics and its allied fields. In the geometric theory of meromorphic functions, the main contribution to this discipline of study is to enrich areas of operator theory on complex punctured domains and differential complex inequalities, namely, subordination theory. This effort presents integrodifferential operator of meromorphic functions in the punctured unit disk. It is formulated by combining the differential operator and the integral operator correlating with the extended generalized Mittag-Leffler function. Furthermore, some interesting geometric features in terms of the subordination principle are investigated. |
| first_indexed | 2024-03-09T23:16:21Z |
| format | Article |
| id | doaj.art-288d61ee311342ad86549b5b495abb31 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T23:16:21Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-288d61ee311342ad86549b5b495abb312023-11-23T17:35:12ZengMDPI AGMathematics2227-73902022-09-011018324310.3390/math10183243Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential OperatorF. Ghanim0Hiba F. Al-Janaby1Marwan Al-Momani2Belal Batiha3Department of Mathematics, College of Science, University of Sharjah, Sharjah P.O. Box 27272, United Arab EmiratesDepartment of Mathematics, College of Science, University of Baghdad, Baghdad 10071, IraqDepartment of Mathematics, College of Science, University of Sharjah, Sharjah P.O. Box 27272, United Arab EmiratesDepartment of Mathematics, Faculty of Science and Information Technology, Jadara University, Irbid 21110, JordanThe generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become an increasingly rich research area in mathematics and its allied fields. In the geometric theory of meromorphic functions, the main contribution to this discipline of study is to enrich areas of operator theory on complex punctured domains and differential complex inequalities, namely, subordination theory. This effort presents integrodifferential operator of meromorphic functions in the punctured unit disk. It is formulated by combining the differential operator and the integral operator correlating with the extended generalized Mittag-Leffler function. Furthermore, some interesting geometric features in terms of the subordination principle are investigated.https://www.mdpi.com/2227-7390/10/18/3243Mittag-Leffler functionregular functionssubordinatemeromorphic function |
| spellingShingle | F. Ghanim Hiba F. Al-Janaby Marwan Al-Momani Belal Batiha Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator Mathematics Mittag-Leffler function regular functions subordinate meromorphic function |
| title | Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator |
| title_full | Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator |
| title_fullStr | Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator |
| title_full_unstemmed | Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator |
| title_short | Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator |
| title_sort | geometric studies on mittag leffler type function involving a new integrodifferential operator |
| topic | Mittag-Leffler function regular functions subordinate meromorphic function |
| url | https://www.mdpi.com/2227-7390/10/18/3243 |
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