Applications of Babalola q-convolution operator on subclass of analytic functions
Abstract In this study, we present a specific type of analytic functions called B γ ( q ) $\mathfrak{B}_{\gamma}(q)$ , characterized by the Babalola q-convolution operator. We examine the characteristics of this category and set the limits for the initial four coefficients. In addition, we establish...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-024-03214-1 |
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| _version_ | 1841544206135328768 |
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| author | Timilehin Gideon Shaba Saravanan Gunasekar Afis Saliu Fairouz Tchier Baskaran Sudharsanan |
| author_facet | Timilehin Gideon Shaba Saravanan Gunasekar Afis Saliu Fairouz Tchier Baskaran Sudharsanan |
| author_sort | Timilehin Gideon Shaba |
| collection | DOAJ |
| description | Abstract In this study, we present a specific type of analytic functions called B γ ( q ) $\mathfrak{B}_{\gamma}(q)$ , characterized by the Babalola q-convolution operator. We examine the characteristics of this category and set the limits for the initial four coefficients. In addition, we establish the limits for the Toeplitz determinants of second and third order for the functions within this category. Our discoveries offer fresh perspectives on the behavior of these functions and aid in comprehending their structural characteristics. |
| format | Article |
| id | doaj-art-9689ec3ee29e41b8a15cd48a645f76aa |
| institution | Kabale University |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-9689ec3ee29e41b8a15cd48a645f76aa2025-01-12T12:44:14ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-01-012025112110.1186/s13660-024-03214-1Applications of Babalola q-convolution operator on subclass of analytic functionsTimilehin Gideon Shaba0Saravanan Gunasekar1Afis Saliu2Fairouz Tchier3Baskaran Sudharsanan4Department of Physical Sciences, Mathematics Programme, Landmark UniversityDepartment of Mathematics, Amrita School of Engineering, Amrita Vishwa VidyapeethamDepartment of Mathematics, University of The GambiaMathematics Department, College of Science, King Saud UniversityDepartment of Mathematics, Agurchand Manmull Jain CollegeAbstract In this study, we present a specific type of analytic functions called B γ ( q ) $\mathfrak{B}_{\gamma}(q)$ , characterized by the Babalola q-convolution operator. We examine the characteristics of this category and set the limits for the initial four coefficients. In addition, we establish the limits for the Toeplitz determinants of second and third order for the functions within this category. Our discoveries offer fresh perspectives on the behavior of these functions and aid in comprehending their structural characteristics.https://doi.org/10.1186/s13660-024-03214-1q-Babalola convolution operatorAnalytic functionsCoefficient inequalitiesToeplitz determinant |
| spellingShingle | Timilehin Gideon Shaba Saravanan Gunasekar Afis Saliu Fairouz Tchier Baskaran Sudharsanan Applications of Babalola q-convolution operator on subclass of analytic functions Journal of Inequalities and Applications q-Babalola convolution operator Analytic functions Coefficient inequalities Toeplitz determinant |
| title | Applications of Babalola q-convolution operator on subclass of analytic functions |
| title_full | Applications of Babalola q-convolution operator on subclass of analytic functions |
| title_fullStr | Applications of Babalola q-convolution operator on subclass of analytic functions |
| title_full_unstemmed | Applications of Babalola q-convolution operator on subclass of analytic functions |
| title_short | Applications of Babalola q-convolution operator on subclass of analytic functions |
| title_sort | applications of babalola q convolution operator on subclass of analytic functions |
| topic | q-Babalola convolution operator Analytic functions Coefficient inequalities Toeplitz determinant |
| url | https://doi.org/10.1186/s13660-024-03214-1 |
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