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Fekete-Szegő type coefficient inequalities for certain subclasses of analytic functions involving Salagean operator. (English) Zbl 1357.30007
Summary: In this paper, we introduce and study certain subclasses of analytic functions involving Salagean operator. For these classes, the Fekete-Szegö type coefficient inequalities associated with the \(k\)-th root transformation \([f(z^k)]^{\frac 1k}\) are derived. A similar problem is investigated for \(\frac z{f(z)}\) when \(f(z)\) belonging to these classes.

MSC:
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable
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