Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions
In this paper, we investigate the properties of functions belonging to the classes $ \psi(\eta)\in\mathcal{\overline{T}}^{j, k}_q(A, B) $ and $ \psi(\eta)\in\mathcal{\overline{K}}^{j, k}_q(A, B) $, these functions are defined within the context of $ q $-calculus and $ (j, k) $-symmetrical function...
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025304 |
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| author | Faizah D Alanazi Fuad Alsarari |
| author_facet | Faizah D Alanazi Fuad Alsarari |
| author_sort | Faizah D Alanazi |
| collection | DOAJ |
| description | In this paper, we investigate the properties of functions belonging to the classes $ \psi(\eta)\in\mathcal{\overline{T}}^{j, k}_q(A, B) $ and $ \psi(\eta)\in\mathcal{\overline{K}}^{j, k}_q(A, B) $, these functions are defined within the context of $ q $-calculus and $ (j, k) $-symmetrical functions. We employ convolution techniques and quantum calculus to explore the convolution conditions, which will serve as foundational results for further studies in our work Furthermore, we establish conditions for membership in $ \psi(\eta)\in\mathcal{\overline{T}}^{j, k}_q(A, B) $ and present an example demonstrating the application of these results to rational functions. |
| format | Article |
| id | doaj-art-017ece5b86d848a1b1f988c014bbe04d |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-017ece5b86d848a1b1f988c014bbe04d2025-08-20T02:26:19ZengAIMS PressAIMS Mathematics2473-69882025-03-011036652666310.3934/math.2025304Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functionsFaizah D Alanazi0Fuad Alsarari1Department of Mathematics, College of Science, Northern Border University, Arar, Saudi ArabiaDepartment of Mathematics and statistics, College of Science, Yanbu, Taibah University, Saudi ArabiaIn this paper, we investigate the properties of functions belonging to the classes $ \psi(\eta)\in\mathcal{\overline{T}}^{j, k}_q(A, B) $ and $ \psi(\eta)\in\mathcal{\overline{K}}^{j, k}_q(A, B) $, these functions are defined within the context of $ q $-calculus and $ (j, k) $-symmetrical functions. We employ convolution techniques and quantum calculus to explore the convolution conditions, which will serve as foundational results for further studies in our work Furthermore, we establish conditions for membership in $ \psi(\eta)\in\mathcal{\overline{T}}^{j, k}_q(A, B) $ and present an example demonstrating the application of these results to rational functions.https://www.aimspress.com/article/doi/10.3934/math.2025304quantum calculusanalytic functionshadamard product$ q $-starlike functions$ (x, y) $-symmetrical functions$ q $-convex functions |
| spellingShingle | Faizah D Alanazi Fuad Alsarari Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions AIMS Mathematics quantum calculus analytic functions hadamard product $ q $-starlike functions $ (x, y) $-symmetrical functions $ q $-convex functions |
| title | Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions |
| title_full | Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions |
| title_fullStr | Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions |
| title_full_unstemmed | Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions |
| title_short | Geometric convolution characteristics of $ q $-Janowski type functions related to $ (j, k) $-symmetrical functions |
| title_sort | geometric convolution characteristics of q janowski type functions related to j k symmetrical functions |
| topic | quantum calculus analytic functions hadamard product $ q $-starlike functions $ (x, y) $-symmetrical functions $ q $-convex functions |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025304 |
| work_keys_str_mv | AT faizahdalanazi geometricconvolutioncharacteristicsofqjanowskitypefunctionsrelatedtojksymmetricalfunctions AT fuadalsarari geometricconvolutioncharacteristicsofqjanowskitypefunctionsrelatedtojksymmetricalfunctions |