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A class of uniformly convex functions of order \(\alpha\) with negative and fixed finitely many coefficients. (English) Zbl 0981.30011

The authors gave coefficient estimates and solved a radius convexity problem in a subclass of the class of uniformly convex functions introduced by A. W. Goodman [Ann. Pol. Math. 56, No. 1, 87-92 (1991; Zbl 0744.30010)].

MSC:

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

Citations:

Zbl 0744.30010
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