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Sharp coefficient bounds for starlike functions associated with the Bell numbers

In: Mathematica Slovaca, vol. 69, no. 5
Virendra Kumar - Nak Eun Cho - V. Ravichandran - H. M. Srivastava
Detaily:
Rok, strany: 2019, 1053 - 1064
Kľúčové slová:
analytic functions, univalent functions, starlike functions, Bell numbers, coefficient estimates, higherorder Schwarzian derivatives, Hankel determinant
O článku:
Let $\mathcal{S}*B$ 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 $\mathcal{S}*B$ 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 $\mathcal{S}*B$ are investigated.
Ako citovať:
ISO 690:
Kumar, V., Cho, N., Ravichandran, V., Srivastava, H. 2019. Sharp coefficient bounds for starlike functions associated with the Bell numbers. In Mathematica Slovaca, vol. 69, no.5, pp. 1053-1064. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0289

APA:
Kumar, V., Cho, N., Ravichandran, V., Srivastava, H. (2019). Sharp coefficient bounds for starlike functions associated with the Bell numbers. Mathematica Slovaca, 69(5), 1053-1064. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0289
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 5. 10. 2019