Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions
The main aim of the present article is the introduction of a new differential operator in q-analogue for meromorphic multivalent functions which are analytic in punctured open unit disc. A subclass of meromorphic multivalent convex functions is defined using this new differential operator in q-analo...
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| Main Authors: | , , , , , |
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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/10.1155/2021/5534357 |
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| author | Bakhtiar Ahmad Muhammad Ghaffar Khan Mohamed Kamal Aouf Wali Khan Mashwani Zabidin Salleh Huo Tang |
| author_facet | Bakhtiar Ahmad Muhammad Ghaffar Khan Mohamed Kamal Aouf Wali Khan Mashwani Zabidin Salleh Huo Tang |
| author_sort | Bakhtiar Ahmad |
| collection | DOAJ |
| description | The main aim of the present article is the introduction of a new differential operator in q-analogue for meromorphic multivalent functions which are analytic in punctured open unit disc. A subclass of meromorphic multivalent convex functions is defined using this new differential operator in q-analogue. Furthermore, we discuss a number of useful geometric properties for the functions belonging to this class such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity. Also, algebraic property of closure is discussed of functions belonging to this class. Integral representation problem is also proved for these functions. |
| format | Article |
| id | doaj-art-b871597a08054c69b6121d0419b4bb7e |
| 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-b871597a08054c69b6121d0419b4bb7e2025-02-03T06:05:45ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55343575534357Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex FunctionsBakhtiar Ahmad0Muhammad Ghaffar Khan1Mohamed Kamal Aouf2Wali Khan Mashwani3Zabidin Salleh4Huo Tang5Govt. Degree College Mardan, 23200 Mardan, PakistanInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanDepartment of Mathematics, Faculty of Science, Mansoura 35516, EgyptInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, PakistanDepartment of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, MalaysiaSchool of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, ChinaThe main aim of the present article is the introduction of a new differential operator in q-analogue for meromorphic multivalent functions which are analytic in punctured open unit disc. A subclass of meromorphic multivalent convex functions is defined using this new differential operator in q-analogue. Furthermore, we discuss a number of useful geometric properties for the functions belonging to this class such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity. Also, algebraic property of closure is discussed of functions belonging to this class. Integral representation problem is also proved for these functions.http://dx.doi.org/10.1155/2021/5534357 |
| spellingShingle | Bakhtiar Ahmad Muhammad Ghaffar Khan Mohamed Kamal Aouf Wali Khan Mashwani Zabidin Salleh Huo Tang Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions Journal of Function Spaces |
| title | Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions |
| title_full | Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions |
| title_fullStr | Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions |
| title_full_unstemmed | Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions |
| title_short | Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions |
| title_sort | applications of a new q difference operator in janowski type meromorphic convex functions |
| url | http://dx.doi.org/10.1155/2021/5534357 |
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