Abstract
In the present paper, sharp estimates of some determinants over the class \(\mathcal {S}^*(\alpha ),\ \alpha \in [0,1)\), of analytic functions f such that \({{\mathrm{Re}}}(zf'(z)/f(z))>\alpha ,\) \(z\in {{\mathbb {D}}}:=\left\lbrace z \in {{\mathbb {C}}} : |z|<1 \right\rbrace \), are computed.
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Acknowledgements
The authors would like to express their thanks to the referees for their constructive advices and comments that helped to improve this paper. This research was partially supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology No. 2016R1D1A1A09916450.
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Communicated by See Keong Lee.
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Cho, N.E., Kowalczyk, B., Kwon, O.S. et al. The Bounds of Some Determinants for Starlike Functions of Order Alpha. Bull. Malays. Math. Sci. Soc. 41, 523–535 (2018). https://doi.org/10.1007/s40840-017-0476-x
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DOI: https://doi.org/10.1007/s40840-017-0476-x