Initial Coefficient Bounds for a General Class of Bi-Univalent Functions

Recently, Srivastava et al. [22] reviewed the study of coefficient problems for bi-univalent functions. Inspired by the pioneering work of Srivastava et al. [22], there has been triggering interest to study the coefficient problems for the different subclasses of bi-univalent functions (see, for exa...

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Veröffentlicht in:Filomat 2015-01, Vol.29 (6), p.1259-1267
Hauptverfasser: Orhan, H., Magesh, N., Balaji, V. K.
Format: Artikel
Sprache:eng
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Zusammenfassung:Recently, Srivastava et al. [22] reviewed the study of coefficient problems for bi-univalent functions. Inspired by the pioneering work of Srivastava et al. [22], there has been triggering interest to study the coefficient problems for the different subclasses of bi-univalent functions (see, for example, [1, 3, 6, 7, 27, 29],). Motivated essentially by the aforementioned works, in this paper we propose to investigate the coefficient estimates for a general class of analytic and bi-univalent functions. Also, we obtain estimates on the coefficients |a2| and |a3| for functions in this new class. Further, we discuss some interesting remarks, corollaries and applications of the results presented here.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1506259O