Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions
This paper considers the basic concepts of <i>q</i>-calculus and the principle of subordination. We define a new subclass of <i>q</i>-starlike functions related to the Salagean <i>q</i>-differential operator. For this class, we investigate initial coefficient esti...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/11/658 |
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| author | Isra Al-shbeil Jianhua Gong Shahid Khan Nazar Khan Ajmal Khan Mohammad Faisal Khan Anjali Goswami |
| author_facet | Isra Al-shbeil Jianhua Gong Shahid Khan Nazar Khan Ajmal Khan Mohammad Faisal Khan Anjali Goswami |
| author_sort | Isra Al-shbeil |
| collection | DOAJ |
| description | This paper considers the basic concepts of <i>q</i>-calculus and the principle of subordination. We define a new subclass of <i>q</i>-starlike functions related to the Salagean <i>q</i>-differential operator. For this class, we investigate initial coefficient estimates, Hankel determinants, Toeplitz matrices, and Fekete-Szegö problem. Moreover, we consider the <i>q</i>-Bernardi integral operator to discuss some applications in the form of some results. |
| first_indexed | 2024-03-09T19:03:21Z |
| format | Article |
| id | doaj.art-3f9e3da6e1e049a79f3dfc35197efa33 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T19:03:21Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-3f9e3da6e1e049a79f3dfc35197efa332023-11-24T04:45:34ZengMDPI AGFractal and Fractional2504-31102022-11-0161165810.3390/fractalfract6110658Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike FunctionsIsra Al-shbeil0Jianhua Gong1Shahid Khan2Nazar Khan3Ajmal Khan4Mohammad Faisal Khan5Anjali Goswami6Department of Mathematics, The University of Jordan, Amman 11942, JordanDepartment of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab EmiratesDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22500, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22500, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22500, PakistanDepartment of Basic Science, Saudi Electronic University, Riyadh 11673, Saudi ArabiaDepartment of Basic Science, Saudi Electronic University, Riyadh 11673, Saudi ArabiaThis paper considers the basic concepts of <i>q</i>-calculus and the principle of subordination. We define a new subclass of <i>q</i>-starlike functions related to the Salagean <i>q</i>-differential operator. For this class, we investigate initial coefficient estimates, Hankel determinants, Toeplitz matrices, and Fekete-Szegö problem. Moreover, we consider the <i>q</i>-Bernardi integral operator to discuss some applications in the form of some results.https://www.mdpi.com/2504-3110/6/11/658analytic functionsquantum calculus<i>q</i>-derivative operatorsalagean <i>q</i>-differential operator<i>q</i>-starlike functionsHankel determinants |
| spellingShingle | Isra Al-shbeil Jianhua Gong Shahid Khan Nazar Khan Ajmal Khan Mohammad Faisal Khan Anjali Goswami Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions Fractal and Fractional analytic functions quantum calculus <i>q</i>-derivative operator salagean <i>q</i>-differential operator <i>q</i>-starlike functions Hankel determinants |
| title | Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions |
| title_full | Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions |
| title_fullStr | Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions |
| title_full_unstemmed | Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions |
| title_short | Hankel and Symmetric Toeplitz Determinants for a New Subclass of <i>q</i>-Starlike Functions |
| title_sort | hankel and symmetric toeplitz determinants for a new subclass of i q i starlike functions |
| topic | analytic functions quantum calculus <i>q</i>-derivative operator salagean <i>q</i>-differential operator <i>q</i>-starlike functions Hankel determinants |
| url | https://www.mdpi.com/2504-3110/6/11/658 |
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