New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains
In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains. We investigate the number of useful properties such that structural formu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8796837 |
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| _version_ | 1832545338041303040 |
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| author | Saima Noor Asima Razzaque |
| author_facet | Saima Noor Asima Razzaque |
| author_sort | Saima Noor |
| collection | DOAJ |
| description | In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains. We investigate the number of useful properties such that structural formula, coefficient estimates, Fekete–Szego problem and subordination result. We also highlighted some known corollaries of our main results. |
| format | Article |
| id | doaj-art-e6445bb58eb84a97849acb81b57e0bfd |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e6445bb58eb84a97849acb81b57e0bfd2025-02-03T07:26:17ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8796837New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic DomainsSaima Noor0Asima Razzaque1Basic Science DepartmentBasic Science DepartmentIn this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains. We investigate the number of useful properties such that structural formula, coefficient estimates, Fekete–Szego problem and subordination result. We also highlighted some known corollaries of our main results.http://dx.doi.org/10.1155/2022/8796837 |
| spellingShingle | Saima Noor Asima Razzaque New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains Journal of Function Spaces |
| title | New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains |
| title_full | New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains |
| title_fullStr | New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains |
| title_full_unstemmed | New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains |
| title_short | New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains |
| title_sort | new subclass of analytic function involving q mittag leffler function in conic domains |
| url | http://dx.doi.org/10.1155/2022/8796837 |
| work_keys_str_mv | AT saimanoor newsubclassofanalyticfunctioninvolvingqmittaglefflerfunctioninconicdomains AT asimarazzaque newsubclassofanalyticfunctioninvolvingqmittaglefflerfunctioninconicdomains |