Noor, Khalida Inayat; Riaz, Sadia Generalized \(q\)-starlike functions. (English) Zbl 1413.30077 Stud. Sci. Math. Hung. 54, No. 4, 509-522 (2017). Summary: In this paper, we introduce a new concept of \(q\)-bounded radius rotation and define the class \(R^*_m(q),m\geq 2,q\in (0,1).\) The class \(R^*_2(q)\) coincides with \(S^*_q\) which consists of \(q\)-starlike functions defined in the open unit disc. Distortion theorems, coefficient result and radius problem are studied. Relevant connections to various known results are pointed out. Cited in 4 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:\(q\)-starlike; bounded radius rotation; convex; \(q\)-derivative; hypergeometric functions PDFBibTeX XMLCite \textit{K. I. Noor} and \textit{S. Riaz}, Stud. Sci. Math. Hung. 54, No. 4, 509--522 (2017; Zbl 1413.30077) Full Text: DOI