Partial sums of certain univalent functions
Applied Mathematical Sciences, vol.6, no.13-16, pp.779-805, 2012 (Scopus)
- Publication Type: Article / Article
- Volume: 6 Issue: 13-16
- Publication Date: 2012
- Journal Name: Applied Mathematical Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.779-805
- Open Archive Collection: AVESIS Open Access Collection
- Istanbul Kültür University Affiliated: Yes
Abstract
The partial sums f 3(z) of some extermal functions for various classes S*, K and R of starlike functions, convex functions and functions with positive real part in the open unit disk U, respectively, are discussed. In general, the partial sums can not preserve the same character as the initial functions. The object of the present paper is to discuss the radius problems for partial sums of some extremal functions for the classes S*, K and R.