A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator
Newly, the field of fractional differential operators has engaged with many other fields in science, technology, and engineering studies. The class of fractional differential and integral operators is considered for a real variable. In this work, we have investigated the most applicable fractional d...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6270711 |
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| _version_ | 1849306880877264896 |
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| author | Najla M. Alarifi Rabha W. Ibrahim |
| author_facet | Najla M. Alarifi Rabha W. Ibrahim |
| author_sort | Najla M. Alarifi |
| collection | DOAJ |
| description | Newly, the field of fractional differential operators has engaged with many other fields in science, technology, and engineering studies. The class of fractional differential and integral operators is considered for a real variable. In this work, we have investigated the most applicable fractional differential operator called the Prabhakar fractional differential operator into a complex domain. We express the operator in observation of a class of normalized analytic functions. We deal with its geometric performance in the open unit disk. |
| format | Article |
| id | doaj-art-235af6bfdb1b49139e0f65288afcd9d5 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-235af6bfdb1b49139e0f65288afcd9d52025-08-20T03:54:57ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/62707116270711A New Class of Analytic Normalized Functions Structured by a Fractional Differential OperatorNajla M. Alarifi0Rabha W. Ibrahim1Department of Mathematics, Imam Abdulrahman Bin Faisal University, Dammam 31113, Saudi ArabiaIEEE: 94086547, Kuala Lumpur 59200, MalaysiaNewly, the field of fractional differential operators has engaged with many other fields in science, technology, and engineering studies. The class of fractional differential and integral operators is considered for a real variable. In this work, we have investigated the most applicable fractional differential operator called the Prabhakar fractional differential operator into a complex domain. We express the operator in observation of a class of normalized analytic functions. We deal with its geometric performance in the open unit disk.http://dx.doi.org/10.1155/2021/6270711 |
| spellingShingle | Najla M. Alarifi Rabha W. Ibrahim A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator Journal of Function Spaces |
| title | A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator |
| title_full | A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator |
| title_fullStr | A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator |
| title_full_unstemmed | A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator |
| title_short | A New Class of Analytic Normalized Functions Structured by a Fractional Differential Operator |
| title_sort | new class of analytic normalized functions structured by a fractional differential operator |
| url | http://dx.doi.org/10.1155/2021/6270711 |
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