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The Fekete-Szegő problem for certain class of analytic functions. (Chinese. English summary) Zbl 1103.30006

Summary: A new class \(B(\lambda,\alpha,\beta)\) of analytic funcitons is introduced. The Fekete-Szegő inequality for \(B(\lambda,\alpha,\beta)\) is discussed, and the sharp result obtained, which generalizes the related results from some authors.

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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