Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus
In this study, we familiarise a novel class of Janowski-type star-like functions of complex order with regard to j,k-symmetric points based on quantum calculus by subordinating with pedal-shaped regions. We found integral representation theorem and conditions for starlikeness. Furthermore, with rega...
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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 Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/8298848 |
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| author | K. R. Karthikeyan G. Murugusundaramoorthy S. D. Purohit D. L. Suthar |
| author_facet | K. R. Karthikeyan G. Murugusundaramoorthy S. D. Purohit D. L. Suthar |
| author_sort | K. R. Karthikeyan |
| collection | DOAJ |
| description | In this study, we familiarise a novel class of Janowski-type star-like functions of complex order with regard to j,k-symmetric points based on quantum calculus by subordinating with pedal-shaped regions. We found integral representation theorem and conditions for starlikeness. Furthermore, with regard to j,k-symmetric points, we successfully obtained the coefficient bounds for functions in the newly specified class. We also quantified few applications as special cases which are new (or known). |
| format | Article |
| id | doaj-art-fbed6d1cf24a401e994752635fe7ffbc |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fbed6d1cf24a401e994752635fe7ffbc2025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/82988488298848Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-CalculusK. R. Karthikeyan0G. Murugusundaramoorthy1S. D. Purohit2D. L. Suthar3Department of Applied Mathematics and Science, National University of Science & Technology (By Merger of Caledonian College of Engineering and Oman Medical College), Muscut, OmanDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Deemed to be University, Vellore, Tamilnadu, IndiaDepartment of HEAS (Mathematics), Rajasthan Technical University, Kota, IndiaDepartment of Mathematics, Wollo University, P. O. Box: 1145, Amhara Region, EthiopiaIn this study, we familiarise a novel class of Janowski-type star-like functions of complex order with regard to j,k-symmetric points based on quantum calculus by subordinating with pedal-shaped regions. We found integral representation theorem and conditions for starlikeness. Furthermore, with regard to j,k-symmetric points, we successfully obtained the coefficient bounds for functions in the newly specified class. We also quantified few applications as special cases which are new (or known).http://dx.doi.org/10.1155/2021/8298848 |
| spellingShingle | K. R. Karthikeyan G. Murugusundaramoorthy S. D. Purohit D. L. Suthar Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus Journal of Mathematics |
| title | Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus |
| title_full | Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus |
| title_fullStr | Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus |
| title_full_unstemmed | Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus |
| title_short | Certain Class of Analytic Functions with respect to Symmetric Points Defined by Q-Calculus |
| title_sort | certain class of analytic functions with respect to symmetric points defined by q calculus |
| url | http://dx.doi.org/10.1155/2021/8298848 |
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