Journal
MATHEMATICA SLOVACA
Volume 69, Issue 5, Pages 1053-1064Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/ms-2017-0289
Keywords
analytic functions; univalent functions; starlike functions; Bell numbers; coefficient estimates; higher-order Schwarzian derivatives; Hankel determinant
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Funding
- Basic Science Research Program through the National Research Foundation of the Republic of Korea (NRF) - Ministry of Education, Science and Technology [2019R1I1A3A01050861]
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Let S-B(*) be the class of normalized starlike functions associated with a function related to the Bell numbers. By establishing bounds on some coefficient functionals for the family of functions with positive real part, we derive for functions in the class S-B(*) several sharp coefficient bounds on the first six coefficients and also further sharp bounds on the corresponding Hankel determinants. Bounds on the first three consecutive higher-order Schwarzian derivatives for functions in the class S-B(*) are investigated. (C) 2019 Mathematical Institute Slovak Academy of Sciences
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