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Some problems for certain family of starlike functions. (English) Zbl 1255.30016

Summary: We investigate a subordination under a multivalent function and we consider a class of starlike functions associated with such subordination. Some applications and consequences of the main results extend the earlier issues.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination
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