Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions
In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and di...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4343163 |
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| _version_ | 1849684720281976832 |
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| author | Muhammad Ghaffar Khan Bakhtiar Ahmad Nazar Khan Wali Khan Mashwani Sama Arjika Bilal Khan Ronnason Chinram |
| author_facet | Muhammad Ghaffar Khan Bakhtiar Ahmad Nazar Khan Wali Khan Mashwani Sama Arjika Bilal Khan Ronnason Chinram |
| author_sort | Muhammad Ghaffar Khan |
| collection | DOAJ |
| description | In this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class. |
| format | Article |
| id | doaj-art-c04bea7aa8794abcb849746b8dbfd9fa |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c04bea7aa8794abcb849746b8dbfd9fa2025-08-20T03:23:23ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/43431634343163Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type RegionsMuhammad Ghaffar Khan0Bakhtiar Ahmad1Nazar Khan2Wali Khan Mashwani3Sama Arjika4Bilal Khan5Ronnason Chinram6Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanGovt: Degree College Mardan, 23200 Mardan, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, PakistanInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanDepartment of Mathematics and Informatics, University of Agadez, Agadez, NigerSchool of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, ChinaAlgebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, ThailandIn this article, we introduce a new subclass of analytic functions utilizing the idea of Mittag-Leffler type Poisson distribution associated with the Janowski functions. Further, we discuss some important geometric properties like necessary and sufficient condition, convex combination, growth and distortion bounds, Fekete-Szegö inequality, and partial sums for this newly defined class.http://dx.doi.org/10.1155/2021/4343163 |
| spellingShingle | Muhammad Ghaffar Khan Bakhtiar Ahmad Nazar Khan Wali Khan Mashwani Sama Arjika Bilal Khan Ronnason Chinram Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions Journal of Function Spaces |
| title | Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions |
| title_full | Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions |
| title_fullStr | Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions |
| title_full_unstemmed | Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions |
| title_short | Applications of Mittag-Leffer Type Poisson Distribution to a Subclass of Analytic Functions Involving Conic-Type Regions |
| title_sort | applications of mittag leffer type poisson distribution to a subclass of analytic functions involving conic type regions |
| url | http://dx.doi.org/10.1155/2021/4343163 |
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