# Coefficient estimate problems for certain subclasses of analytic and bi-univalent functions

@article{Magesh2015CoefficientEP,
title={Coefficient estimate problems for certain subclasses of analytic and bi-univalent functions},
author={N. Magesh and V. Prameela},
journal={Afrika Matematika},
year={2015},
volume={26},
pages={465-470}
}
• Published 2015
• Mathematics
• Afrika Matematika
Motivated and stimulated especially by the work of Xu et al. (Appl Math Lett 25(6):990–994, 2012), in this paper, we introduce and discuss an interesting subclass $$\mathcal {M}^{\varphi ,\psi }_{\Sigma }(\lambda )$$MΣφ,ψ(λ) of analytic and bi-univalent functions defined in the open unit disc $$\mathbb {U}$$U. Further, we find estimates on the coefficients $$|a_2|$$|a2| and $$|a_3|$$|a3| for functions in this subclass. Many relevant connections with known or new results are pointed out.
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