Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraints
This research paper addressed a significant knowledge gap in the field of complex analysis by introducing a pioneering category of $ q $-starlike and $ q $-convex functions intricately interconnected with $ (u, v) $-symmetrical functions. Recognizing the limited exploration of these relationships in...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241591 |
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| author | Hanen Louati Afrah Al-Rezami Erhan Deniz Abdulbasit Darem Robert Szasz |
| author_facet | Hanen Louati Afrah Al-Rezami Erhan Deniz Abdulbasit Darem Robert Szasz |
| author_sort | Hanen Louati |
| collection | DOAJ |
| description | This research paper addressed a significant knowledge gap in the field of complex analysis by introducing a pioneering category of $ q $-starlike and $ q $-convex functions intricately interconnected with $ (u, v) $-symmetrical functions. Recognizing the limited exploration of these relationships in existing literature, the authors delved into the new classes $ \mathcal{S}_q(\alpha, u, v) $ and $ \mathcal{T}_q(\alpha, u, v) $. The main contribution of this work was the establishment of a framework that amalgamates $ q $-starlikeness and $ q $-convexity with the symmetry conditions imposed by $ (u, v) $-symmetrical functions. This comprehensive study include coefficient estimates, convolution conditions, and the properties underpinning the $ (\rho, q) $-neighborhood, thereby enriching the understanding of these novel function classes. |
| format | Article |
| id | doaj-art-905c17d8523348378b0baf2a075ef8d8 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-905c17d8523348378b0baf2a075ef8d82025-01-23T07:53:24ZengAIMS PressAIMS Mathematics2473-69882024-11-01912333533336410.3934/math.20241591Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraintsHanen Louati0Afrah Al-Rezami1Erhan Deniz2Abdulbasit Darem3Robert Szasz4Department of Mathematics, College of Science, Northeren Border University, P.O. Box 1321, Arar, 73222, KSAMathematics Department, Prince Sattam Bin Abdulaziz University, Al-Kharj 16278, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100, Kars-T$ \ddot{u} $rkiyeDepartment of Computer Science at college of Science, Northern Border University, Arar, Saudi ArabiaDepartment of Mathematics and Informatics, Sapientia Hungarian University of Transylvania, T$ \hat{a} $rgu-Mures, RomaniaThis research paper addressed a significant knowledge gap in the field of complex analysis by introducing a pioneering category of $ q $-starlike and $ q $-convex functions intricately interconnected with $ (u, v) $-symmetrical functions. Recognizing the limited exploration of these relationships in existing literature, the authors delved into the new classes $ \mathcal{S}_q(\alpha, u, v) $ and $ \mathcal{T}_q(\alpha, u, v) $. The main contribution of this work was the establishment of a framework that amalgamates $ q $-starlikeness and $ q $-convexity with the symmetry conditions imposed by $ (u, v) $-symmetrical functions. This comprehensive study include coefficient estimates, convolution conditions, and the properties underpinning the $ (\rho, q) $-neighborhood, thereby enriching the understanding of these novel function classes.https://www.aimspress.com/article/doi/10.3934/math.20241591analytic functions$ q $-calculus$ (u, v) $-symmetrical functions $ (\rho, q) $-neighborhoodcoefficient inequality |
| spellingShingle | Hanen Louati Afrah Al-Rezami Erhan Deniz Abdulbasit Darem Robert Szasz Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraints AIMS Mathematics analytic functions $ q $-calculus $ (u, v) $-symmetrical functions $ (\rho, q) $-neighborhood coefficient inequality |
| title | Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraints |
| title_full | Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraints |
| title_fullStr | Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraints |
| title_full_unstemmed | Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraints |
| title_short | Application of $ q $-starlike and $ q $-convex functions under $ (u, v) $-symmetrical constraints |
| title_sort | application of q starlike and q convex functions under u v symmetrical constraints |
| topic | analytic functions $ q $-calculus $ (u, v) $-symmetrical functions $ (\rho, q) $-neighborhood coefficient inequality |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241591 |
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