Abstract
In the present paper, we find new bounds on the modulii of the third and fourth Taylor-Maclaurin's coefficients of {\it bi-starlike functions of order} $\rho$ and {\it strongly bi-starlike functions of order} $\beta$. Our estimates on the third coefficient improve upon earlier estimates found in [D.A. Brannan, T.S. Taha, On some classes of bi-univalent functions, in: S.M. Mazhar, A. Hamoui, N.S. Faour (Eds.), Mathematical Analysis and its Applications, Kuwait; February 18-21, 1985, in: KFAS Proceedings Series, vol. 3, Pergamon Press, Elsevier Science Limited, Oxford, 1988, pp. 53-60].
Citation
A. K. Mishra. M. M. Soren. "Coefficient bounds for bi-starlike analytic functions." Bull. Belg. Math. Soc. Simon Stevin 21 (1) 157 - 167, february 2014. https://doi.org/10.36045/bbms/1394544301
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