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Some subordination criteria concerning the Sǎlǎgean operator. (English) Zbl 1167.26321

Summary: Applying Sǎlǎgean operator to the class \(\mathcal{A}\) of analytic functions \(f(z)\) in the open unit disk \(\mathbb{U}\) which are normalized by \(f(0)=f^{\prime}(0)-1=0\), the generalization of an analytic function to discuss the starlikeness is considered. Furthermore, from the subordination criteria for Janowski functions generalized by some complex parameters, some interesting subordination criteria for \(f(z)\in\mathcal{A}\) are given.

MSC:

26D15 Inequalities for sums, series and integrals
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