Fen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer ScienceNunokawa, M.Sokół, J.Cho, N.E.Owa, S.YAVUZ, EMEL2018-12-032018-12-032014-071110-256Xhttps://doi.org/10.1016/j.joems.2013.07.015https://hdl.handle.net/11413/3678Let denote the class of functions f that are analytic in the unit disc and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that in . We determine conditions for α and β under which the function f is univalent, close-to-convex, and convex. To obtain this, we first estimate ∣Arg{f′(z)}∣ which improves the earlier results.en-USClose-to-convex functionsConvex functionsStarlike functionsSubordinationArticle