Owa, Shigeyoshi; Sekine, Tadayuki; Yamakawa, Rikuo On Sakaguchi type functions. (English) Zbl 1113.30018 Appl. Math. Comput. 187, No. 1, 356-361 (2007). Two subclasses \({\mathcal S}(\alpha,t)\) and \({\mathcal F}(\alpha,t)\) are introduced concerning with Sakaguchi functions in the open unit disk \(\mathbb U\). Further, by using the coefficient inequalities for the classes \({\mathcal S}(\alpha,t)\) and \({\mathcal F}(\alpha,t)\), two subclasses \({\mathcal F}_0(\alpha,t)\) and \({\mathcal F}_0(\alpha,t)\) are defined. The object of the present paper is to discuss some properties of functions belonging to the classes \({\mathcal S}_0(\alpha,t)\) and \({\mathcal F}_0(\alpha,t)\) Cited in 7 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:Sakaguchi function; coefficient inequality; distortion inequality PDF BibTeX XML Cite \textit{S. Owa} et al., Appl. Math. Comput. 187, No. 1, 356--361 (2007; Zbl 1113.30018) Full Text: DOI References: [1] Goodman, A.W., On uniformly starlike functions, J. math. anal. appl., 155, 364-370, (1991) · Zbl 0726.30013 [2] Cho, N.E.; Kwon, O.S.; Owa, S., Certain subclasses of sakaguchi functions, SEA bull. math., 17, 121-126, (1993) · Zbl 0788.30007 [3] Owa, S.; Sekine, T.; Yamakawa, Rikuo, Notes on sakaguchi functions, RIMS. kokyuroku, 1414, 76-82, (2005) [4] Rønning, F., On uniform starlikeness and related properties of univalent functions, Complex variables theory appl., 24, 233-239, (1994) · Zbl 0821.30008 [5] Sakaguchi, K., On a certain univalent mapping, J. math. soc. Japan, 11, 72-75, (1959) · Zbl 0085.29602 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.