Dahhar, Suci Aida Fitri Mad; Dahhar, Aida Fitri Mad; Janteng, Aini A subclass of starlike functions with respect to conjugate points. (English) Zbl 1188.30009 Int. Math. Forum 4, No. 25-28, 1373-1377 (2009). Summary: Let \(\mathcal S^*_c(A,B)\) denote the class of functions \(f\) which are analytic in the open unit disc \(\mathcal D=\{z:| z|<1\}\) and satisfy the condition \[ \frac{2zf'(z)}{f(z)+\overline{f(z)}}\prec\frac{1+Az}{1+Bz},\qquad -1\leq B<A\leq 1,\quad z\in \mathcal D. \]The aim of the paper is to determine coefficient estimates for the class \(\mathcal S^*_c(A,B)\). Cited in 1 Document MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:starlike function; coefficient estimates; starlikeness with respect to conjugate points PDFBibTeX XMLCite \textit{S. A. F. M. Dahhar} et al., Int. Math. Forum 4, No. 25--28, 1373--1377 (2009; Zbl 1188.30009) Full Text: Link