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The order of convexity for an integral operator. (English) Zbl 1346.30009

Summary: For analytic functions \(f_i\), \(g_i\) for \(i=1,2,\ldots,n\), \(n\in \mathbb N^\ast\) in the open unit disk \(\mathcal U\), we study some convexity properties for a new general integral operator.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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