Subclasses of bi-univalent functions defined by convolution

Subclasses of bi-univalent functions defined by convolution

In this paper, we introduced two new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we find estimates on the coefficients ∣a2∣ and ∣a3∣ for functions in these new subclasses.

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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2014-10, Vol.22 (3), p.348-351
1. Verfasser: El-Ashwah, R.M.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic and univalent functions
Bi-univalent functions
Coefficients bounds
Starlike and convex functions
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Beschreibung
Zusammenfassung:In this paper, we introduced two new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we find estimates on the coefficients ∣a2∣ and ∣a3∣ for functions in these new subclasses.
ISSN:1110-256X
2090-9128
DOI:10.1016/j.joems.2013.06.017