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On Sakaguchi type functions. (English) Zbl 1113.30018
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 $${\mathcal F}_0(\alpha,t)$$

##### MSC:
 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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##### 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
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