Silverman, Herb Neighborhoods of classes of analytic functions. (English) Zbl 0935.30009 Far East J. Math. Sci. 3, No. 2, 165-169 (1995). Summary: For \(f(z)= z- \sum_{n=2}^\infty a_nz^n\), \(a_n\geq 0\), analytic in the unit disk and either starlike or convex of a positive order, we define a neighborhood of \(f\) and determine how large the neighborhood can be and still contain only functions within specified families. All results are sharp. Cited in 7 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) PDFBibTeX XMLCite \textit{H. Silverman}, Far East J. Math. Sci. 3, No. 2, 165--169 (1995; Zbl 0935.30009)