Orhan, Halit On neighborhoods of analytic functions defined by using Hadamard product. (English) Zbl 1164.30010 Novi Sad J. Math. 37, No. 1, 17-25 (2007). Let \(A(n)\) denote the class of functions \(f\) of the form \(f(z)=z-\sum_{k=n+1}^\infty a_kz^k\) (\(a_k\geq0\), \(k=2,3,\dots\), \(n=1,2,\dots\)) which are analytic in the unit disc \(| z| <1\). By using the Hadamard product \(f*S_\alpha(z)=\dfrac{z}{(1-z)^{2(1-\alpha)}}\), the classes \(S_n(\gamma,\beta,\alpha)\) and \(R_n(\gamma,\beta,\alpha;\mu)\) are introduced. The author considers the \((n,\delta)\)-neighborhoods of these classes of analytic functions. Reviewer: Milutin Obradović (Beograd) Cited in 4 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) PDFBibTeX XMLCite \textit{H. Orhan}, Novi Sad J. Math. 37, No. 1, 17--25 (2007; Zbl 1164.30010) Full Text: EuDML