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Subordination results for certain classes of analytic functions defined by a generalized differential operator. (English) Zbl 1243.30041

Summary: We derive some subordination results for certain classes of analytic functions defined by a generalized differential operator using the principle of subordination and a subordination theorem. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

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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