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Coefficient bounds for certain subclasses of starlike functions of complex order. (English) Zbl 1216.30021

Summary: We determine coefficient bounds for functions in certain subclasses of starlike and convex functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy-Euler-type differential equation of order \(m\). Several corollaries and consequences of the main results are also considered.

MSC:

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