Bharati, R.; Parvatham, R.; Swaminathan, A. On subclasses of uniformly convex functions and corresponding class of starlike functions. (English) Zbl 0898.30010 Tamkang J. Math. 28, No. 1, 17-32 (1997). The authors consider functions \(f\) uniformly convex in the unit disk as introduced by A. W. Goodman [Ann. Pol. Math. 56, No. 1, 87-92 (1991; Zbl 0744.30010)] of the form \(f(z)= z-\sum^\infty_{k= 2} a_kz^k\), \(a_k\geq 0\). For these and related classes, they prove characterizations using the coefficients, distortion theorems and convolution results. Reviewer: K.J.Wirths (Braunschweig) Cited in 2 ReviewsCited in 34 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:uniformly convex functions; distortion theorems; convolution PDF BibTeX XML Cite \textit{R. Bharati} et al., Tamkang J. Math. 28, No. 1, 17--32 (1997; Zbl 0898.30010)