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On a class of certain analytic functions of complex order. (English) Zbl 1027.30016

Summary: We introduce a class, namely, \(H_n(b, M)\) of certain analytic functions. For this class we determine a sufficient condition, in terms of coefficients, for functions to belong to \(H_n(b, M)\), a coefficient estimate, a maximization theorem for the coefficients and a radius theorem.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functions of one complex variable