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Filomat 2013 Volume 27, Issue 5, Pages: 831-842
https://doi.org/10.2298/FIL1305831S
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Coefficient estimates for a general subclass of analytic and bi-univalent functions

Srivastava Harim M. (Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada)
Bulut Serap (Kocaeli University, Civil Aviation College, Arslanbey Campus, Izmit-Kocaeli, Turkey)
Ҫaǧlar Murat (Department of Mathematics, Faculty of Science, Atatürk University, Yakutiye-Erzurum, Turkey)
Yağmur Nihat (Department of Mathematics, Faculty of Science and Art, Erzincan University, Erzincan, Turkey)

In this paper, we introduce and investigate an interesting subclass NΣh,p (λ, μ) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class NΣh,p (λ, μ), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of Çaǧlar et al. [3], Xu et al. [10], and other authors.

Keywords: Analytic functions, Univalent functions, Bi-univalent functions, Taylor-Maclaurin series expansion, Coefficient bounds and coefficient estimates, Taylor-Maclaurin coefficients