Third Hankel Determinant for a Subclass of Univalent Functions Associated with Lemniscate of Bernoulli
- Authors
- Ullah, N.; Ali, I.; Hussain, S.M.; Ro, J.-S.; Khan, N.; Khan, B.
- Issue Date
- Jan-2022
- Publisher
- MDPI
- Keywords
- Analytic functions; Carlson–Shaffer operator; Hankel determinant; Lemniscate of Bernoulli; Starlike functions
- Citation
- Fractal and Fractional, v.6, no.1
- Journal Title
- Fractal and Fractional
- Volume
- 6
- Number
- 1
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/55151
- DOI
- 10.3390/fractalfract6010048
- ISSN
- 2504-3110
2504-3110
- Abstract
- This paper deals with a new subclass of univalent function associated with the right half of the lemniscate of Bernoulli. We find the upper bound of the Hankel determinant H3 (1) for this subclass by applying the Carlson–Shaffer operator to it. The present work also deals with certain properties of this newly defined subclass, such as the upper bound of the Hankel determinant of order 3, coefficient estimates, etc.
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