Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution
AbstractThis article introduces a new operator defined by the convolution of the Poisson distribution series and the generalized Mittag-Leffler function. Applying this operator, we study a novel subclass of analytic functions using the technique of fuzzy differential subordination. Also, we prove so...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2024-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2024.2319366 |
| _version_ | 1797292160552271872 |
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| author | Bushra Kanwal Kashmala Sarfaraz Munnaza Naz Afis Saliu |
| author_facet | Bushra Kanwal Kashmala Sarfaraz Munnaza Naz Afis Saliu |
| author_sort | Bushra Kanwal |
| collection | DOAJ |
| description | AbstractThis article introduces a new operator defined by the convolution of the Poisson distribution series and the generalized Mittag-Leffler function. Applying this operator, we study a novel subclass of analytic functions using the technique of fuzzy differential subordination. Also, we prove some significant results related to the fuzzy differential relation for this novel class. These results are applied to particular functions to showcase the significance of our findings. |
| first_indexed | 2024-03-07T19:47:45Z |
| format | Article |
| id | doaj.art-d56eac11660a4f4093136d6e3d1922d1 |
| institution | Directory Open Access Journal |
| issn | 2576-5299 |
| language | English |
| last_indexed | 2024-03-07T19:47:45Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj.art-d56eac11660a4f4093136d6e3d1922d12024-02-28T19:41:12ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992024-12-0131120621210.1080/25765299.2024.2319366Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distributionBushra Kanwal0Kashmala Sarfaraz1Munnaza Naz2Afis Saliu3Department of Mathematical Sciences, Fatima Jinnah Women University Rawalpindi, PakistanDepartment of Mathematical Sciences, Fatima Jinnah Women University Rawalpindi, PakistanDepartment of Mathematical Sciences, Fatima Jinnah Women University Rawalpindi, PakistanDepartment of Mathematics, University of the Gambia, Serrekunda, GambiaAbstractThis article introduces a new operator defined by the convolution of the Poisson distribution series and the generalized Mittag-Leffler function. Applying this operator, we study a novel subclass of analytic functions using the technique of fuzzy differential subordination. Also, we prove some significant results related to the fuzzy differential relation for this novel class. These results are applied to particular functions to showcase the significance of our findings.https://www.tandfonline.com/doi/10.1080/25765299.2024.2319366Analytic functionsfuzzy differential subordinationMittag-Leffler functionopen unit diskpoisson distribution |
| spellingShingle | Bushra Kanwal Kashmala Sarfaraz Munnaza Naz Afis Saliu Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution Arab Journal of Basic and Applied Sciences Analytic functions fuzzy differential subordination Mittag-Leffler function open unit disk poisson distribution |
| title | Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution |
| title_full | Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution |
| title_fullStr | Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution |
| title_full_unstemmed | Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution |
| title_short | Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution |
| title_sort | fuzzy differential subordination associated with generalized mittag leffler type poisson distribution |
| topic | Analytic functions fuzzy differential subordination Mittag-Leffler function open unit disk poisson distribution |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2024.2319366 |
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