Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function
| dc.contributor.author | Zhang, Hai-Yan | |
| dc.contributor.author | Srivastava, Rekha | |
| dc.contributor.author | Tang, Huo | |
| dc.date.accessioned | 2020-10-19T23:31:26Z | |
| dc.date.available | 2020-10-19T23:31:26Z | |
| dc.date.copyright | 2019 | en_US |
| dc.date.issued | 2019 | |
| dc.description.abstract | Let S∗s be the class of normalized functions f defined in the open unit disk D={z:|z|<1} such that the quantity zf′(z)f(z) lies in an eight-shaped region in the right-half plane and satisfying the condition zf′(z)f(z)≺1+sinz(z∈D). In this paper, we aim to investigate the third-order Hankel determinant H3(1) and Toeplitz determinant T3(2) for this function class S∗s associated with sine function and obtain the upper bounds of the determinants H3(1) and T3(2) . | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | This research was funded by the Natural Science Foundation of the People’s Republic of China under Grants 11561001 and 11271045, the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region under Grant NJYT-18-A14, the Natural Science Foundation of Inner Mongolia of the People’s Republic of China under Grant 2018MS01026, the Higher School Foundation of Inner Mongolia of the People’s Republic of China under Grants NJZY17300 and NJZY18217 and the Natural Science Foundation of Chifeng of Inner Mongolia. | en_US |
| dc.identifier.citation | Zhang, H., Srivastava, R., & Tang, H. (2019). Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function. Mathematics. 7(5), 1-10. https://doi.org/10.3390/math7050404. | en_US |
| dc.identifier.uri | https://doi.org/10.3390/math7050404 | |
| dc.identifier.uri | http://hdl.handle.net/1828/12224 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematics | en_US |
| dc.subject | starlike function | |
| dc.subject | Toeplitz determinant | |
| dc.subject | Hankel determinant | |
| dc.subject | sine function | |
| dc.subject | upper bound | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function | en_US |
| dc.type | Article | en_US |